McGraw Hill Math

Excel in your academics by accessing McGraw Hill Math Grade 7 Answer Key PDF Lesson 19.4 Metric Perimeter, Area, and Volume of a Solid existing for free of cost.

McGraw-Hill Math Grade 7 Answer Key Lesson 19.4 Metric Perimeter, Area, and Volume of a Solid

Exercises
CALCULATE
Question 1.
What is the perimeter of a square with sides of 7 cm?

What is the area?
Answer:
Perimeter of the square = 28 cm.
Area of the square = 49 square cm.

Explanation:
Side of the square = 7 cm.
Perimeter of the square = 4 × Side of the square
= 4 × 7
= 28 cm.
Area of the square = Side of the square × Side of the square
= 7 × 7
= 49 square cm.

Question 2.
The perimeter of this figure with 6 equal sides is 48 millimeters. What is the length of each side?

Answer:
Length of the each side = 8 mm.

Explanation:
Number of sides of the figure = 6.
Perimeter of this figure = 48 millimeters.
Length of the each side = Perimeter of this figure ÷ Number of sides of the figure
= 48 ÷ 6
= 8 mm.

Question 3.
A cube has sides of 6 cm. What is the volume of the cube?

What is the surface area of the whole figure?
Answer:
Volume of the cube = 216 cubic cm.
Surface area of the cube = 36 square cm.

Explanation:
Side of the cube = 6 cm.
Volume of the cube = Side of the cube × Side of the cube × Side of the cube
= 6 × 6 × 6
= 36 × 6
= 216 cubic cm.
Surface area of the cube = 6 × Side of the cube
= 6 × 6
= 36 square cm.

Question 4.
A rectangle has sides of 2.4 cm and 8 cm. What is the perimeter of the rectangle?

What is the area of the rectangle?
Answer:
Perimeter of the rectangle = 20.8 cm.
Area of the rectangle = 19.2 square cm.

Explanation:
Length of the rectangle = 8 cm.
Width of the rectangle = 2.4 cm.
Perimeter of the rectangle = 2(Length of the rectangle + Width of the rectangle)
= 2(8 + 2.4)
= 2 × 10.4
= 20.8 cm.
Area of the rectangle = Length of the rectangle × Width of the rectangle
= 8 × 2.4
= 19.2 square cm.

Question 5.
What is the perimeter of this rectangle with sides of 14 meters and 6 meters?

What is the area?
Answer:
Perimeter of the rectangle = 40 m.
Area of the rectangle = 84 square m.

Explanation:
Length of the rectangle = 14 m.
Width of the rectangle = 6 m.
Perimeter of the rectangle = 2(Length of the rectangle + Width of the rectangle0
= 2(14 + 6)
= 2 × 20
= 40 m.
Area of the rectangle = Length of the rectangle × Width of the rectangle
= 14 × 6
= 84 square m.

Question 6.
Damian designed a course around his neighborhood to race his bicycle with friends. His neighborhood is in the shape of a regular pentagon with 5 equal sides measuring 500 meters each. If Damian can ride his bicycle at a speed of 20 km per hour, how many times around the course will he go in an hour?
Answer:
Number of times around the course will he go in an hour = 125.

Explanation:
Number of sides His neighborhood is in the shape of a regular pentagon = 5.
Length of the each side = 500 m.
Perimeter of the pentagon = Number of sides His neighborhood is in the shape of a regular pentagon × Length of the each side
= 5 × 500
= 2,500 m.
Speed of Damian can ride his bicycle = 20 km per hour.
Number of times around the course will he go in an hour = Perimeter of the pentagon ÷ Speed of Damian can ride his bicycle
= 2,500 ÷ 20
= 125.

Question 7.
Anabelle is buying a new rug for her living room. The rug store prices the rug by the square meter. If Anabelle needs a rug with dimensions of 3.7 meters long and 2 meters wide, and the rug store charges $12.00 per square meter, how much will she pay for a new rug? ______________
What is the perimeter of the rug? ______________
Answer:
Amount of money she needs to pay for new rug = $88.8.
Perimeter of the rug = 11.4 m.

Explanation:
Length of the rug = 3.7 m.
Width of the rug = 2 m.
Area of the rug = Length of the rug × Width of the rug
= 3.7 × 2
= 7.4 square m.
Amount of money rug store chargers for the rug = $12.00 per square meter.
Amount of money she needs to pay for new rug = Area of the rug × Amount of money rug store chargers for the rug
= 7.4 × 12
= $88.8.
Perimeter of the rug = 2(Length of the rug + Width of the rug)
= 2(3.7 + 2)
= 2 × 5.7
= 11.4 m.

Question 8.
What is the volume of the rectangular solid?

Answer:
Volume of the rectangular solid = 900 cubic cm.

Explanation:
Length of the rectangular solid = 18 cm.
Width of the rectangular solid = 10 cm.
Height of the rectangular solid = 5 cm.
Volume of the rectangular solid = Length of the rectangular solid × Width of the rectangular solid × Height of the rectangular solid
= 18 × 10 × 5
= 180 × 5
= 900 cubic cm.

Question 9.
What is the area of the triangle?

Answer:
Area of the triangle = 35 square m.

Explanation:
Base of the triangle = 14 m.
Height of the triangle = 5 m.
Area of the triangle = \(\frac{1}{2}\) × Base of the triangle × Height of the triangle
= \(\frac{1}{2}\) × 14 × 5
= \(\frac{1}{1}\) × 7 × 5
= 35 square m.

Question 10.
How much water can a swimming pool with a flat bottom hold? It is 12 meters long, 8 meters wide, and 2.5 meters deep.
Answer:
Number of liters of water can a swimming pool with a flat bottom hold = 2,40,000 liters.

Explanation:
Length of the swimming pool = 12 m.
Width of the swimming pool = 8 m.
Height of the swimming pool = 2.5 m.
Volume of the swimming pool = Length of the swimming pool × Width of the swimming pool × Height of the swimming pool
= 12 × 8 × 2.5
= 96 × 2.5
= 240 cubic m.
Number of liters of water can a swimming pool with a flat bottom hold =
Conversion:
1 cubic m= 1,000 liters.
240 cubic m = ?? liters
=> 1 × ?? = 1,000 × 240
=> ?? = 2,40,000 liters.

Question 11.
What is the area of the triangle?

Answer:
Area of the triangle = 96 square m.

Explanation:
Base of the triangle = 12 m.
Height of the triangle = 16 m.
Area of the triangle = \(\frac{1}{2}\) × Base of the triangle × Height of the triangle
= \(\frac{1}{2}\) × 12 × 16
= \(\frac{1}{1}\) × 6 × 16
= 96 square m.

Question 12.
What is the area of this rectangle?

Answer:
Area of the rectangle = 192 square mm.

Explanation:
Length of the rectangle = 16mm.
Width of the rectangle =  12mm.
Area of the rectangle = Length of the rectangle × Width of the rectangle
= 16 × 12
= 192 square mm.

Excel in your academics by accessing McGraw Hill Math Grade 7 Answer Key PDF Lesson 19.3 Metric Units of Mass existing for free of cost.

McGraw-Hill Math Grade 7 Answer Key Lesson 19.3 Metric Units of Mass

Exercises
CALCULATE
Question 1.
200 g = ____________ kg
Answer:
200 g is equal to 0.2 kg.

Explanation:
Conversion:
1 kg = 1,000 g.
?? kg = 200 g
=> 1 × 200 = 1,000 × ??
=> 200 ÷ 1,000 = ??
=> 0.2 kg.

Question 2.
125 kg = ____________ mg
Answer:
125 kg is equal to 12,50,00,000 mg.

Explanation:
Conversion:
1 kg = 10,00,000 mg.
125 kg = ?? mg.
=> 1 × ?? = 10,00,000 × 125
=> ?? = 12,50,00,000 mg.

Question 3.
660 g = ____________ kg
Answer:
600 g is equal to 0.6 kg.

Explanation:
Conversion:
1 kg = 1,000 g.
?? kg = 600 g.
=> 1 × 600 = 1,000 × ??
=> 600 ÷ 1,000 = ??
=> 0.6 kg = ??

Question 4.
4500 mg = ____________ g
Answer:
450 mg is equal to 0.45 g.

Explanation:
Conversion:
1 g = 1,000 mg.
?? g = 450 mg.
=> 1 × 450 = 1,000 × ??
=> 450 ÷ 1,000 = ??
=> 0.45 g = ??

Question 5.
11.3 kg = ____________ mg
Answer:
11.3 kg is equal to 1,13,00,000 mg.

Explanation:
Conversion:
1 kg = 10,00,000 mg.
11.3 kg = ?? mg
=> 1 × ?? = 10,00,000 × 11.3
=> ?? = 1,13,00,000 mg.

Question 6.
300 mg = ____________ g
Answer:
300 mg is equal to 0.3g.

Explanation:
Conversion:
1 g = 1,000 mg.
?? g = 300 mg
=> 1 × 300 = 1,000 × ??
=> 300 ÷ 1,000 = ??
=> 0.3 g = ??

Question 7.
500 g + 600 mg = ____________ g
Answer:
Sum of 500 g and 600 mg is equal to 500.6 g.

Explanation:
Conversion:
1 g = 1,000 mg.
?? g = 600 mg.
=> 1 × 600 = 1,000 × ??
=> 600 ÷ 1,000 = ??
=> 0.6 g = ??
500 g + 0.6 g = 500.6 g.

Question 8.
7 kg + 190 g = ____________ cg
Answer:
Sum of 7kg and 190 g, we get 7,19,000 cg.

Explanation:
Conversion:
1 g = 100 cg.
190 g = ?? cg
=> 1 × ?? = 100 × 190
=> ?? = 19000 cg.
1 kg = 1,00,000 cg.
7 kg = ?? cg
=> 1 × ?? = 1,00,000 × 7
=> ?? = 7,00,000 cg.
19,000 cg + 7,00,000 cg = 7,19,000 cg.

Question 9.
438 g + 1.62kg = ____________ g
Answer:
Sum of 438 g and 1.62kg, we get 2,058 g.

Explanation:
Conversion:
1 kg = 1,000 g.
1.62 kg = ?? g
=> 1 × ?? = 1,000 × 1.62
=> ?? = 1,620 g.
438 g + 1,620 g = 2,058 g.

Question 10.
267 kg – 33g = ____________ kg
Answer:
Difference between 267 kg and 33g, we get 266.967 kg.

Explanation:
Conversion:
1 kg = 1,000 g.
?? kg = 33 g
=> 1 × 33 = 1,000 × ??
=> 33 ÷ 1,000 = ??
=> 0.033 kg = ??
Difference between 267 kg and 33g:
267 kg – 0.033 kg = 266.967 kg.

Question 11.
354 g – 346 mg = ____________ g
Answer:
Difference between 354 g and 346 mg, we get 353.654 g.

Explanation:
Conversion:
1 g = 1,000 mg.
?? g = 346 mg
=> 1 × 346 = 1,000 × ??
=> 346 ÷ 1,000 = ??
=> 0.346 g = ??
Difference between 354 g and 346 mg:
354 g – 0.346 g = 353.654 g.

Question 12.
4300 g + 3300 mg = ____________ kg
Answer:
Sum of 4300 g and 3300 mg, we get 4.3033 kg.

Explanation:
Conversion:
1 kg = 1,000 g.
?? kg = 4,300 g.
=> 1 × 4,300 = 1,000 × ??
=> 4,300 ÷ 1,000 = ??
=> 4.3 kg = ??
1 kg = 10,00,000 mg.
?? kg = 3300 mg
=> 1 × 3300 = 10,00,000 × ??
=> 3300 ÷ 10,00,000 = ??
=> 0.0033 kg = ??
4.3 kg + 0.0033 kg = 4.3033 kg.

Question 13.
5300 g – 2430 mg = ____________ g
Answer:
Difference between 5300 g and 2430 mg, we get 5297.57 g.

Explanation:
Conversion:
1 g = 1,000 mg.
?? g = 2,430 mg
=> 1 × 2,430 = 1,000 × ??
=> 2,430 ÷ 1,000 = ??
=> 2.430 g = ??
Difference between 5300 g and 2430 mg:
5300 g – 2.430 g = 5297.57 g.

Question 14.
12.34 kg + 1.66 kg = ____________ g
Answer:
Sum of 12.34 kg and 1.66 kg, we get 14,000 g.

Explanation:
Conversion:
1 kg = 1,000 g.
12.34 kg = ?? g
=> 1 × ?? = 1000 × 12.34
=> ?? = 12,340 g.
1 kg = 1,000 g.
1.66 kg = ?? g
=> 1 × ?? = 1000 ×  1.66
=> ?? = 1,660 g.
12,340 g + 1,660 g = 14,000 g.

Question 15.
2 mg + 4 g + 5 kg = ____________ kg
Answer:
Sum of 2 mg, 4 g and 5 kg, we get 5.004002 kg.

Explanation:
Conversion:
1 kg = 10,00,000 mg.
?? kg = 2 mg
=> 1 × 2 = 10,00,000 × ??
=> 2 ÷ 10,00,000 = ??
=> 0.000002 kg = ??
1 kg = 1,000 g.
?? kg  = 4 g
=> 1 × 4 = 1,000 × ??
=> 4 ÷ 1,000 = ??
=> 0.004 kg = ??
0.000002 kg + 0.004 kg + 5 kg = 5.004002 kg.

Question 16.
300 kg + 300 g + 300 cg = ____________ mg
Answer:
Sum of 300 kg, 300 g and 300 cg , we get 30,03,03,000 mg.

Explanation:
Conversion:
1 kg = 10,00,000 mg.
300 kg = ?? mg
=> 1 × ?? = 10,00,000 × 300
=> ?? = 30,00,00,000 mg.
1 g = 1,000 mg.
300 g = ?? mg
=> 1 × ?? = 1,000 × 300
=> ?? = 3,00,000 mg.
1 cg = 10 mg.
300 cg = ?? mg
=> 1 × ?? = 10 × 300
=> ?? = 3,000 mg.
30,00,00,000 mg + 3,00,000 mg + 3,000 mg = 30,03,03,000 mg.

Question 17.
142 g + 258 mg = ____________ cg
Answer:
Sum of 142 g + 258 mg, we get 14,225.8 cg.

Explanation:
Conversion:
1 g = 100 cg.
142 g = ?? cg
=> 1 × ?? = 100 × 142
=> ?? = 14,200 cg.
1 cg = 10 mg.
?? cg = 258 mg
=> 1 × 258 = 10 × ??
=> 258 ÷ 10 = ??
=> 25.8 cg = ??
14,200 cg + 25.8 cg = 14,225.8 cg.

Question 18.
65 g + 6500 g = ____________ kg
Answer:
Sum of 65 g and 6500 g, we get 6.565 kg.

Explanation:
Conversion:
1 kg = 1,000 g.
?? kg = 65 g
=> 1 × 65 = 1,000 × ??
=> 65 ÷ 1,000 = ??
=> 0.065 kg = ??
1 kg = 1,000 g.
?? kg = 6,500 g
=> 1 × 6,500 = 1,000 × ??
=> 6500 ÷ 1000 = ??
=> 6.5 kg.
0.065 kg + 6.5 kg = 6.565 kg.

Excel in your academics by accessing McGraw Hill Math Grade 7 Answer Key PDF Lesson 19.2 Metric Units of Liquid Volume existing for free of cost.

McGraw-Hill Math Grade 7 Answer Key Lesson 19.2 Metric Units of Liquid Volume

Exercises
CALCULATE

Question 1.
2.1 L = __________ mL
Answer:
2.1 L is equal to 2100 mL .

Explanation:
Conversion:
1 L = 1,000 mL
2.1 L = ?? mL
=> 1 × ?? = 1,000 × 2.1
=> ?? = 2100 mL .

Question 2.
1700 L = _________ kL
Answer:
1,700 L is equal to 1.7 kL.

Explanation:
Conversion:
1 kL = 1,000 L.
?? kL = 1,700 L
=> 1 × 1,700 = 1,000 × ??
=> 1,700 ÷ 1,000 = ??
=> 1.7 kL = ??

Question 3.
3.456 L = ____________ mL
Answer:
3.456 L is equal to 3,456 mL.

Explanation:
Conversion:
1 L = 1,000 mL.
3.456 L = ?? mL
=> 1 × ?? = 1,000 × 3.456
=> ?? = 3,456 mL.

Question 4.
350 L = ___________ mL
Answer:
350 L is equal to 3,50,000 mL.

Explanation:
Conversion:
1 L = 1,000 mL.
350 L = ?? mL.
=> 1 × ?? = 1,000 × 350
=> ?? = 3,50,000 mL.

Question 5.
3.901 kL = ____________ mL
Answer:
3.901 kL is equal to 39,01,000 mL.

Explanation:
Conversion:
1 kL = 10,00,000 mL.
3.901 kL = ?? mL
=> 1 × ?? = 10,00,000 × 3.901
=> ?? = 39,01,000 mL.

Question 6.
161.34 mL = ____________ L
Answer:
161.34 mL is equal to 0.16134 L.

Explanation:
Conversion:
1 L = 1,000 mL.
?? L= 161.34 mL
=> 1 × 161.34 = 1,000 × ??
=> 161.34 ÷ 1,000 = ??
=> 0.16134 L = ??

Question 7.
767 mL = ____________ kL
Answer:
767 mL is equal to 0.000767 kL.

Explanation:
Conversion:
1 kL = 10,00,000 ml
?? kL = 767 mL
=> 1 × 767 = 10,00,000 × ??
=> 767 ÷ 10,00,000 = ??
=> 0.000767 kL = ??

Question 8.
1276 mL + 487 L = _____________ L
Answer:
Sum of 1276 mL and 487 L , we get 488.276 L.

Explanation:
Conversion:
1 L = 1,000 mL.
?? L= 1,276 mL
=> 1 × 1,276 = 1,000 × ??
=> 1,276 ÷ 1,000 = ??
=> 1.276 L = ??
1.276 l + 487 L = 488.276 L.

Question 9.
2 kL + 135 L = ___________ L
Answer:
Sum of 2 kL and 135 L, we get 2,135 L.

Explanation:
Conversion:
1 kL = 1,000 L.
2 kL = ?? L
=> 1 × ?? = 1,000 × 2
=> ?? = 2,000 L.
2,000 L + 135 L = 2,135 L.

Question 10.
71 mL + 141 L = ___________ kL
Answer:
Sum of 71 mL and 141 L, we get 1,41,000.000071 kL.

Explanation:
Conversion:
1 kL = 10,00,000 mL.
?? kL = 71 mL.
=> 1 × 71 = 10,00,000 × ??
=> 71 ÷ 10,00,000 = ??
=> 0.000071 kL.
1 kL = 1,000 L.
141 L = ?? L
=> 1 × ?? = 1,000 × 141
=> ?? = 1,41,000 L.
0.000071 kL + 1,41,000 L = 1,41,000.000071 kL.

Question 11.
835 kL + 4500 L = ___________ kL
Answer:
Sum of 835 kL and 4500 L, we get 839.5 kL.

Explanation:
Conversion:
1 kL = 1,000 L.
?? kL = 4,500 L
=> 1 × 4,500 = 1,000 × ??
=> 4,500 ÷ 1,000 = ??
=> 4.5 kL.
835 kL + 4.5 kL = 839.5 kL.

Question 12.
562 kL + 5213 L = _____________ kL
Answer:
Sum of 562 kL and 5213 L, we get 567.213 kL.

Explanation:
Conversion:
1 kL = 1,000 L.
?? kL = 5,213 L
=> 1 × 5,213 = 1,000 × ??
=> 5,213 ÷ 1,000 = ??
=> 5.213 kL = ??
562 kL + 5.213 kL = 567.213 kL.

Question 13.
423.98 L + 875.23 mL = ____________ L
Answer:
Sum of 423.98 L and 0.87523 L = 424.85523 L.

Explanation:
Conversion:
1 L = 1,000 mL.
?? L = 875.23 ml
=> 1 × 875.23 = 1,000 × ??
=> 875.23 ÷ 1,000 = ??
=> 0.87523 L = ??
423.98 L + 0.87523 L = 424.85523 L.

Question 14.
141.3 L + 43.2 mL = ____________ mL
Answer:
Sum of 141.3 L and 43.2 mL, we get 1,41,343.2 mL.

Explanation:
Conversion:
1 L = 1,000 mL.
141.3 L = ?? mL
=> 1 × ?? = 1,000 × 141.3
=> ?? = 1,41,300 mL.
1,41,300 mL + 43.2 mL = 1,41,343.2 mL.

Question 15.
A \(\frac{4}{3}\) liter bottle of water is a common size. How many of these bottles of water would it take to fill a 20-liter container?
Answer:
Number of bottles of water would it take to fill a 20-liter container = 15.

Explanation:
Number of liter bottle of water is a common size = \(\frac{4}{3}\)
Number of liters of container = 20.
Number of bottles of water would it take to fill a 20-liter container = Number of liters of container ÷ Number of liter bottle of water is a common size
= 20 ÷ \(\frac{4}{3}\)
= 20 × \(\frac{3}{4}\)
= 5 × \(\frac{3}{1}\)
= 15.

Question 16.
If the reservoir has 200,000,000,000 centiliters of water in it, how many kiloliters does it contain?
Answer:
Number of kiloliters does it contain =

Explanation:
Number of centiliters of water reservoir has = 200,000,000,000.
Number of kiloliters does it contain = 20,00,000.
Conversion:
1 kiloliters = 1,00,000 centiliters.
?? kiloliters = 200,000,000,000 centiliters.
=> 1 × 200,000,000,000 = 1,00,000 × ??
=> 200,000,000,000 ÷ 1,00,000 = ??
=> 20,00,000 kiloliters = ??

Question 17.
If you are providing beverages for 25 students and family members at the school outing and each person expects to drink 1,500 centiliters, how many liters of beverages will you need?
Answer:
Number of liters of beverages will you need = 37.5.

Explanation:
Number of beverages are provided to students and family members at the school outing = 25.
Number of centiliters each person expects to drink = 1,500.
Number of centiliters of beverages will you need = Number of beverages are provided to students and family members at the school outing × Number of centiliters each person expects to drink
= 25 × 1,500
= 37,500.
Number of liters of beverages will you need =
Conversion:
1 L = 1,000 centiliters.
?? L = 37,500 centiliters
=> 1 × 37,500 = 1,000 × ??
=> 37,500 ÷ 1,000 = ??
=> 37.5 L = ??

Question 18.
If an aquarium holds 600 liters of water, and each cup of water holds 25 milliliters, how many cups of water does the aquarium hold?
Answer:
Number of cups of water does the aquarium hold = 24.

Explanation:
Number of liters of water an aquarium holds = 600.
Number of milliliters each cup of water holds = 25.
Number of cups of water does the aquarium hold = Number of liters of water an aquarium holds ÷ Number of milliliters each cup of water holds
= 600 ÷ 25
= 24.

Excel in your academics by accessing McGraw Hill Math Grade 7 Answer Key PDF Lesson 19.1 Metric Units of Length existing for free of cost.

McGraw-Hill Math Grade 7 Answer Key Lesson 19.1 Metric Units of Length

Exercises
CALCULATE
Question 1.
335 cm = ___________ m
Answer:
335 cm is equal to 3.35 m.

Explanation:
Conversion:
1 m = 100 cm.
?? m = 335 cm
=> 1 × 335 = 100 × ??
=> 335 ÷ 100 = ??
=> 3.35 m = ??

Question 2.
6235 mm = ___________ m
Answer:
6,235 mm is equal to 6.235 m.

Explanation:
Conversion:
1 m = 1,000 mm.
?? m = 6,235 mm
=> 1 × 6,235 = 1,000 × ??
=> 6235 ÷ 1000 = ??
=> 6.235 m = ??

Question 3.
5.761 km = ___________ cm
Answer:
5.761 km is equal to 5,76,100 cm.

Explanation:
Conversion:
1 km = 1,00,000 cm
5.761 km = ?? cm
=> 1 × ?? = 1,00,000 × 5.761
=> ?? = 5,76,100 cm.

Question 4.
725.02 km = ____________ mm
Answer:
725.02 km is equal to 72,50,20,000 mm.

Explanation:
Conversion:
1 km = 10,00,000 mm.
725.02 km = ?? mm.
=> 1 × ?? = 10,00,000 × 725.02
=> ?? = 72,50,20,000 mm.

Question 5.
335 cm + 550 mm = ____________ m
Answer:
Sum of 335 cm and 550 mm, we get 3.9 m.

Explanation:
Conversion:
1m = 100 cm
?? m = 335 cm
=> 1 × 335 = 100 × ??
=> 335 ÷ 100 = ??
=> 3.35 m = ??
1 m = 1000 mm.
?? m = 550 mm
=> 1 × 550 = 1,000 × ??
=> 550 ÷ 1,000 = ??
=> 0.55 m = ??
-> 3.35m + 0.55m = 3.9m.

Question 6.
2.611 km = ____________ cm
Answer:
2.611 km is equal to 2,61,100 cm.

Explanation:
Conversion:
1 km = 1,00,000 cm.
2.611 km = ?? cm
=> 1 × ?? = 1,00,000 × 2.611
=> ?? = 2,61,100 cm.

Question 7.
12 cm +12 mm = ____________ m
Answer:
Sum of 12 cm and 12 mm, we get .0132 m.

Explanation:
Conversion:
1 m = 100 cm.
?? m = 12 cm
=> 1 × 12 = 100 × ??
=> 12 ÷ 100 = ??
=> 0.12 m.
1 m = 1,000 mm.
?? m = 12 mm.
=> 1 × 12 = 1,000 × ??
=> 12 ÷ 1,000 = ??
=> 0.012 m = ??
-> 0.12m + 0.012 m =  .0132 m.

Question 8.
6.872 m = __________ mm
Answer:
6.872 m is equal to 6,872 mm.

Explanation:
Conversion:
1 m = 1,000 mm.
6.872 m = ?? mm
=> 1 × ?? = 1,000 × 6.872
=> ?? = 6,872 mm.

Question 9.
8 km + 65 m = ____________ m
Answer:
Sum of 8 km and 65 m, we get 8,065 m.

Explanation:
Conversion:
1 km = 1,000 m.
8 km = ?? m
=> 1 × ?? = 1,000 × 8
=> ?? = 8,000 m.
8,000m + 65m = 8,065 m.

Question 10.
320 km + 415 m = ______________ cm
Answer:
Sum of 320 km and 415 m, we get 3,20,41,500 cm.

Explanation:
Conversion:
1 km = 1,00,000 cm.
320 km = ?? cm
=> 1 × ?? = 1,00,000 × 320
=> ?? = 3,20,00,000 cm.
1 m = 100 cm.
415 m = ?? cm
=> 1 × ?? = 100 × 415
=> ?? = 41,500 cm.
-> 3,20,00,000 cm + 41,500 cm = 3,20,41,500 cm.

Question 11.
478.98 cm + 760.34 cm = ____________ m
Answer:
Sum of 478.98 cm and 760.34 cm, we get 12.3932 m.

Explanation:
Conversion:
1m = 100 cm.
?? m = 478.98 cm
=> 1 × 478.98 = 100 × ??
=> 478.98 ÷ 100 = ??
=> 4.7898 m = ??
1m = 100 cm.
?? m = 760.34 cm
=> 1 × 760.34 = 100 × ??
=> 760.34 ÷ 100 = ??
=> 7.6034 m = ??
-> 4.7898 m + 7.6034 m = 12.3932 m.

Question 12.
540 cm = _____________ km
Answer:
540 cm is equal to 0.0054 km.

Explanation:
Conversion:
1 km = 1,00,000 cm
?? km = 540 cm
=> 1 × 540 = 1,00,000 × ??
=> 540 ÷ 1,00,000 = ??
=> 0.0054 km = ??

Question 13.
45 m + 35 cm = ___________ cm
Answer:
Sum of 45 m and 35 cm, we get 4,535 cm.

Explanation:
Conversion:
1 m = 100 cm.
45 m = ?? cm
=> 1 × ?? = 100 × 45
=> ?? = 4,500 cm.
4,500 cm + 35 cm = 4,535 cm.

Question 14.
76 m + .355 m = ____________ mm
Answer:
Sum of 76 m and .355 m, we get 7,955 mm.

Explanation:
Conversion:
1 m = 1,000 mm.
76 m = ?? mm
=> 1 × ?? = 1,000 × 76
=> ?? = 7,600 mm.
1 m = 1,000 mm.
.355 m = ?? mm
=> 1 × ?? = 1,000 × .355
=> ?? = 355 mm.
7,600 mm + 355 mm = 7,955 mm.

Question 15.
1.1755 km = ______________ m
Answer:
1.1755 km is equal to 1,175.5 m.

Explanation:
Conversion:
1 km = 1,000 m.
1.1755 km= ?? m
=> 1 × ?? = 1,000 × 1.1755
=> ?? = 1,175.5 m.

Question 16.
66.66 cm + 666 cm + 66 m = _____________ m
Answer:
Sum of 66.66 cm, 666 cm and 66 m, we get 73.3266 m.

Explanation:
Conversion:
1 m = 100 cm.
?? m = 66.66 cm
=> 1 × 66.66 = 100 × ??
=> 66.66 ÷ 100 = ??
=> 0.6666 m = ??
1 m = 100 cm.
?? m = 666 cm.
=> 1 × 666 = 100 × ??
=> 666 ÷ 100 = ??
=> 6.66 m = ??
0.6666 m + 6.66 m + 66 m = 73.3266 m.

Question 17.
2104 m = ____________ km
Answer:
2104 m is equal to 2.104 km.

Explanation:
Conversion:
1 km = 1,000 m
?? km = 2104 m
=> 1 × 2,104 = 1,000 × ??
=> 2,104 ÷ 1,000 = ??
=> 2.104 km = ??

Question 18.
1545 cm = _____________ km
Answer:
1545 cm is equal to 0.01545 km.

Explanation:
Conversion:
1 km = 1,00,000 cm.
?? km = 1,545 cm
=> 1 × 1,545 = 1,00,000 × ??
=> 1,545 ÷ 1,00,000 = ??
=> 0.01545 km = ??

Excel in your academics by accessing McGraw Hill Math Grade 7 Answer Key PDF Lesson 18.7 Time existing for free of cost.

McGraw-Hill Math Grade 7 Answer Key Lesson 18.7 Time

Exercises

CALCULATE
Question 1.
36 hours = __________ seconds
Answer:
36 hours is equal to 1,29,600 seconds

Explanation:
Conversion:
1 hour = 3,600 seconds.
36 hours = ?? seconds.
=> 1 × ?? = 3,600 × 36
=> ?? = 1,29,600 seconds.

Question 2.
25 days = __________ hours
Answer:
25 days is equal to 600 hours.

Explanation:
Conversion:
1 day = 24 hours.
25 days = ?? hours
=> 1 × ?? = 24 × 25
=> ?? = 600 hours.

Question 3.
35 days = ___________ minutes
Answer:
35 days is equal to 50,400 minutes.

Explanation:
Conversion:
1 day = 1,440 minutes.
35 days = ?? minutes.
=> 1 × ?? = 1,440 × 35
=> ?? = 50,400 minutes.

Question 4.
96 hours = ___________ days
Answer:
96 hours is equal to 4 days.

Explanation:
Conversion:
1 day = 24 hours.
?? days = 96 hours
=> 1 × 96 = 24 × ??
=> 96 ÷ 24 = ??
=> 4 days = ??

Question 5.
32 days = ___________ minutes
Answer:
32 days is equal to 46,080 minutes.

Explanation:
Conversion:
1 day = 1,440 minutes.
32 days = ?? minutes.
=> 1 × ?? = 1,440 × 32
=> ?? = 46,080 minutes.

Question 6.
125 minutes = ___________ hours
Answer:
125 minutes is equal to 2.08 hours.

Explanation:
Conversion:
1 hour = 60 minutes.
?? hours = 125 minutes.
=> 1 × 125 = 60 × ??
=> 125 ÷ 60 = ??
=> 2.08 hours = ??

Question 7.
91 days = ___________ weeks
Answer:
91 days is equal to 13 weeks.

Explanation:
Conversion:
1 week = 7 days.
?? weeks = 91 days.
=> 1 × 91 = 7 × ??
=> 91 ÷ 7 = ??
=> 13 weeks = ??

Question 8.
300 years = ___________ decades
Answer:
300 years is equal to 30 decades.

Explanation:
Conversion:
1 decade = 10 years.
?? decades = 300 years
=> 1 × 300 = 10 × ??
=> 300 ÷ 10 = ??
=> 30 decades = ??

Question 9.
2,500 years = ___________ centuries
Answer:
2,500 years is equal to 25 centuries.

Explanation:
Conversion:
1 century = 100 years.
?? centuries = 2,500 years
=> 1 × 2,500 = 100 × ??
=> 2,500 ÷ 100 = ??
=> 25 centuries = ??

Question 10.
6,000 seconds = __________ weeks
Answer:
6,000 seconds is equal to 0.009 weeks.

Explanation:
Conversion:
1 week = 6,04,800 seconds.
?? weeks = 6,000 seconds
=> 1 × 6,000 = 6,04,800 ÷ ??
=> 6,000 ÷ 6,04,800 = ??
=> 0.009 weeks = ??

Question 11.
If you get paid $700 and you worked 3.2 days, approximately how much did you make per hour (assume an 8-hour day of work)?
Answer:
Amount of money paid for per hour = $27.34.

Explanation:
Amount of money paid = $700.
Number of days of work = 3.2
Amount of money paid for 1 day = Amount of money paid ÷ Number of days of work
= $700 ÷ 3.2
= $218.75.
(assume an 8-hour day of work)
Conversion:
1 day – 8 hours.
Amount of money paid for per hour = Amount of money paid for 1 day ÷ 8
= $218.75 ÷ 8
= $27.34.

Question 12.
The production rate for widgets in the factory is 8 per second. How many widgets should you make in a 9-hour shift?
Answer:
Number of widgets should you make in a 9-hour shift = 32,400 seconds.

Explanation:
Production rate for widgets in the factory per second = 8.
Conversion:
1 hour = 3,600 seconds.
Number of widgets should you make in a 9-hour shift = ?? seconds.
=> 1 × ?? = 9 × 3,600
=> ?? = 32,400 seconds.

Question 13.
What is the maximum of different centuries that a person can live in if he lived to be 110 years?
Answer:
1.1 centuries is the maximum of different centuries that a person can live in if he lived to be 110 years.

Explanation:
Maximum of different centuries that a person can live in if he lived to be 110 years= ??
Conversion:
1 century = 100 years.
?? centuries = 110 years
=> 1 × 110 = 100 × ??
=> 110 ÷ 100 = ??
=> 1.1 centuries = ??

Question 14.
If you get paid $8.00 per hour and you work 5,400 minutes, how much will you earn?
Answer:
Amount of money earned = $720.

Explanation:
Amount of money paid per hour = $8.00.
Number of minutes you worked = 5,400.
Conversion:
1 hour = 60 minutes.
?? hours – 5,400 minutes
=> 1 × 5,400 = 60 × ??
=> 5,400 ÷ 60 = ??
=> 90 hours = ??
Amount of money earned = Amount of money paid per hour  × 90
= $8 × 90
= $720.

Excel in your academics by accessing McGraw Hill Math Grade 7 Answer Key PDF Lesson 18.6 Volume of a Solid existing for free of cost.

McGraw-Hill Math Grade 7 Answer Key Lesson 18.6 Volume of a Solid

Exercises
SOLVE

Question 1.
What is the volume of a cube with sides of 10 inches?

Answer:
Volume of the cube = 1,000 cubic inches.

Explanation:
Sides of the cube = 10 inches.
Volume of the cube = Sides of the cube × Sides of the cube × Sides of the cube
= 10 × 10 × 10
= 100 × 10
= 1,000 cubic inches.

Question 2.
A shoe box has dimensions of 12 inches by 8 inches by 6 inches. How many cubic feet is it?
Answer:
Volume of the show box = 0.33 cubic feet.

Explanation:
Length of the show box = 12 inches.
Width of the show box = 8 inches.
Height of the show box = 6 inches.
Volume of the show box = Length of the show box × Width of the show box × Height of the show box
= 12 × 8 × 6
= 96 × 6
= 576 cubic inches.
Conversion:
1 cubic feet = 1728 cubic inches
?? cubic feet = 576 cubic inches
=> 1 × 576 = 1728 × ??
=> 576 ÷ 1728 = ??
=> 0.33 cubic feet = ??

Question 3.
A rectangular solid with sides of 9 ft by 5 ft by 13 ft has what volume?
Answer:
Volume of the rectangular solid = 585 cubic feet.

Explanation:
Length of the rectangular solid = 13 ft.
Width of the rectangular solid = 9 ft.
Height of the rectangular solid = 5 ft.
Volume of the rectangular solid = Length of the rectangular solid × Width of the rectangular solid × Height of the rectangular solid
= 13 × 9 × 5
= 117 × 5
= 585 cubic feet.

Question 4.
A cube that has sides of 120 inches has how many cubic yards of volume?
Answer:
Volume of the cube = 37.037 cubic yards.

Explanation:
Side of the cube = 120 inches.
Volume of the cube = Side of the cube × Side of the cube × Side of the cube
= 120 × 120 × 120
= 14400 × 120
= 17,28,000 cubic inches.
Conversion:
1 cubic yard = 46,656 cubic inches.
?? cubic yard = 17,28,000 cubic inches.
=> 1 × 17,28,000 = 46,656 × ??
=> 17,28,000 ÷ 46,656 = ??
=> 37.037 cubic yards = ??

Question 5.
A storage container in the form of a rectangular solid has dimensions of 12 inches by 30 inches by 16 inches. If a pound of sugar takes up \(\frac{1}{4}\) sq ft, how many pounds of sugar can you put in the container?
Answer:
Number of pounds of sugar can be put in the container = 23,040.

Explanation:
Length of the rectangular solid = 30 inches.
Width of the rectangular solid = 16 inches.
Height of the rectangular solid = 12 inches.
Volume of the rectangular solid = Length of the rectangular solid × Width of the rectangular solid × Height of the rectangular solid
= 30 × 16 × 12
= 480 × 12
= 5,760 cubic inches.
Area of the pound of sugar = \(\frac{1}{4}\) sq ft.
Number of pounds of sugar can be put in the container = Volume of the rectangular solid ÷ Area of the pound of sugar
= 5,760 ÷ \(\frac{1}{4}\)
= 5,760 × \(\frac{4}{1}\)
= 23,040.

Question 6.
A parking lot measures 420 ft long and 162 ft wide. If a construction company is told that it needs to have 3 feet of asphalt under the parking lot for proper drainage, how many cubic yards do they need to order?
Answer:
Volume of the asphalt under the parking lot for proper drainage required = 7,560 cubic yards.

Explanation:
Length of the parking lot = 420 ft.
Width of the parking lot = 162 ft.
Area of the parking lot = Length of the parking lot × Width of the parking lot
= 420 × 162
= 68,040 square feet.
Length of the asphalt under the parking lot for proper drainage = 3 feet.
Volume of the asphalt under the parking lot for proper drainage required = Area of the parking lot × Length of the asphalt under the parking lot for proper drainage
= 68,040 × 3
= 204,120 cubic feet.
Conversion:
1 cubic yard  = 27 cubic feet.
?? cubic yards = 2,04,120 cubic feet.
=> 1 × 2,04,120  = 27 ÷ ??
=> 2,04,120 ÷ 27 = ??
=> 7,560 cubic yards = ??

Excel in your academics by accessing McGraw Hill Math Grade 7 Answer Key PDF Lesson 18.5 Area existing for free of cost.

McGraw-Hill Math Grade 7 Answer Key Lesson 18.5 Area

Exercises
SOLVE
Question 1.
How many people can you allow on a beach if the lifeguards want to have 20 sq ft per person and the beach is 1,000 ft long and 200 ft wide? Round to a whole number.
Answer:
Number of people can be allow on a beach = 10,000.

Explanation:
Length of the beach = 1,000 ft.
Width of the beach = 200 ft.
Area of the beach =  Length of the beach × Width of the beach
= 1,000 × 200
= 2,00,000 square feet.
Number of square feet each person wants = 20 square feet.
Number of people can be allow on a beach = Area of the beach ÷ Number of square feet each person wants
= 2,00,000 ÷ 20
= 10,000.

Question 2.
A square that has sides of 25 ft is split in half down the middle. What is the area of each of the pieces?
Answer:
Area of each of the piece = 312.5 square feet.

Explanation:
Side of the square = 25 ft.
A square that has sides of 25 ft is split in half down the middle.
Area of each of the piece = \(\frac{1}{2}\) × Side of the square × Side of the square
= \(\frac{1}{2}\) × 25 × 25
= \(\frac{1}{2}\) × 625
= 312.5 square feet.

Question 3.
A right triangle has a base of 24 feet and a height of 7 feet. What is its area?

Answer:
Area of the right triangle = 84 square feet.

Explanation:
Base of the right triangle = 24 feet.
Height of the right triangle = 7 feet.
Area of the right triangle = \(\frac{1}{2}\) × Base of the right triangle × Height of the right triangle
= \(\frac{1}{2}\) × 24 × 7
= \(\frac{1}{1}\) × 12 × 7
= 84 square feet.

Question 4.
Which has a larger area, a triangle with a base of 15 ft and a height of 25 ft or a square with sides of 14 ft?

Answer:
Square has a larger area than a triangle with a base of 15 ft and a height of 25 ft.

Explanation:
Base of the triangle = 15 feet.
Height of the triangle = 25 feet.
Area of the triangle = \(\frac{1}{2}\) × Base of the triangle × Height of the triangle
= \(\frac{1}{2}\) × 15 × 25
= \(\frac{1}{2}\) × 375
= 187.5 square feet.
Side of the square = 14 feet.
Area of the square = Side of the square × Side of the square
= 14 × 14
= 196 square feet.

Excel in your academics by accessing McGraw Hill Math Grade 7 Answer Key PDF Lesson 18.4 Perimeter existing for free of cost.

McGraw-Hill Math Grade 7 Answer Key Lesson 18.4 Perimeter

Exercises
SOLVE
Question 1.
Which has a longer perimeter, a triangle with sides of 26 feet or a hexagon with sides of 18 feet?
Answer:
Hexagon has a longer perimeter than a triangle with sides of 26 feet.

Explanation:
Side of triangle = 26 feet.
Perimeter of triangle = Side of triangle + Side of triangle+ Side of triangle
=26 + 26 + 26
= 52 + 26
= 78 feet.
Side of hexagon = 18 feet.
Perimeter of hexagon = 6 × Side of hexagon
= 6 × 18
= 108 feet.

Question 2.
If Trent walks east for 25 feet, then north for 30 feet, then west for 25 feet, how long would he have to walk to get to his starting point and how long did he walk in total?
Answer:
Total number of feet Trent walks in all = 110.

Explanation:
Number of feet Trent walks east = 25.
Number of feet Trent walks north = 30
Number of feet Trent walks west = 25.
Number of feet Trent walks south = 30.
Total number of feet Trent walks in all = Number of feet Trent walks east + Number of feet Trent walks west + Number of feet Trent walks north + Number of feet Trent walks south
= 25 + 30 + 25 + 30
= 55 + 25 + 30
= 80 + 30
= 110.

Question 3.
If you have a 120-foot piece of fencing wire, how long would each side of a square-shaped corral be if all the fencing is used?
Answer:
Each side of square- shaped corral would be 30 feet if all the fencing is used.

Explanation:
Number of feet is the piece of fencing wire = 120.
Perimeter of square-shaped corral = 4 × side of square- shaped corral
=> 120 = 4 × side of square- shaped corral
=> 120 ÷ 4 = side of square- shaped corral
=> 30 = side of square- shaped corral

Question 4.
If you want to put a ribbon around a rectangular box with sides of 5 and 10 inches, how much ribbon would you need?
Answer:
Perimeter of the rectangular box = 30 inches.

Explanation:
Length of the rectangular box = 10 inches.
Width of the rectangular box = 5 inches.
Perimeter of the rectangular box = 2 (Length of the rectangular box + Width of the rectangular box)
= 2 (10 + 5)
= 2 × 15
= 30.

Question 5.
What is the perimeter of the figure shown?

Answer:
Perimeter of the given figure = 72 feet.

Explanation:
Length of first side of the given figure = 20 feet.
Length of second side of the given figure = 15 feet.
Length of third side of the given figure = 22 feet.
Length of fourth side of the given figure = 15 feet.
Perimeter of the given figure = Length of first side of the given figure + Length of second side of the given figure + Length of third side of the given figure + Length of fourth side of the given figure
= 20 + 15 + 22 + 15
= 35 + 22 + 15
= 57 + 15
= 72 feet.

Excel in your academics by accessing McGraw Hill Math Grade 7 Answer Key PDF Lesson 18.3 Customary Units of Weight existing for free of cost.

McGraw-Hill Math Grade 7 Answer Key Lesson 18.3 Customary Units of Weight

Exercises
CALCULATE
Question 1.
20 pounds is how many ounces?
Answer:
20 pounds is equal to 320 ounces.

Explanation:
Conversion:
1 pound = 16 ounces.
20 pounds = ?? ounces
=> 1 × ?? = 16 × 20
=> ?? = 320 ounces.

Question 2.
5.2 tons is how many pounds?
Answer:
5.2 tons is equal to 10,400 pounds.

Explanation:
Conversion:
1 ton = 2,000 pounds.
5.2 tons = ?? pounds
=> 1 × ?? = 2,000 × 5.2
=> ?? = 10,400 pounds.

Question 3.
4 tons is how many ounces?
Answer:
4 tons is equal to 1,28,000 ounces.

Explanation:
Conversion:
1 ton = 32,000 ounces.
4 tons = ?? ounces.
=> 1 × ?? = 32,000 × 4
=> ?? = 1,28,000 ounces.

Question 4.
196 ounces is how many pounds?
Answer:
196 ounces is equal to 3,136 ounces.

Explanation:
Conversion:
1 pound = 16 ounces.
196 ounces = ?? ounces.
=> 1 × ?? = 16 × 196
=> ?? = 3,136 ounces.

Question 5.
3.5 tons is how many pounds?
Answer:
3.5 tons is equal to 7,000 pounds.

Explanation:
Conversion:
1 ton = 2,000 pounds.
3.5 tons = ?? pounds.
=> 1 × ?? = 2,000 × 3.5
=> ?? = 7,000 pounds.

Question 6.
1,600 pounds is how many tons?
Answer:
1,600 pounds is equal to 0.8 tons.

Explanation:
Conversion:
1 ton = 2,000 pounds.
?? tons = 1,600 pounds
=> 1 × 1,600 = 2,000 × ??
=> 1,600 ÷ 2,000 = ??
=> 0.8 tons = ??

Question 7.
1.5 tons is how many ounces?
Answer:
1.5 tons is equal to 48,000 ounces.

Explanation:
Conversion:
1 ton = 32,000 ounces.
1.5 tons = ?? ounces.
=> 1 × ?? = 32,000 × 1.5
=> ?? = 48,000 ounces.

Question 8.
680 ounces is how many pounds?
Answer:
680 ounces is equal to 42.5 ounces.

Explanation:
Conversion:
1 pound = 16 ounces.
?? pounds = 680 ounces
=> 1 × 680 = 16 × ??
=> 680 ÷ 16 = ??
=> 42.5 ounces = ??

Question 9.
3.2 tons is how many pounds?
Answer:
3.2 tons is equal to 6,400 pounds.

Explanation:
Conversion:
1 ton = 2,000 pounds.
3.2 tons  = ?? pounds.
=> 1 × ?? = 2,000 × 3.2
=> ?? = 6,400 pounds.

Question 10.
48,000 ounces is how many tons?
Answer:
48,000 ounces is equal to

Explanation:
Conversion:
1 ton = 32,000 ounces
?? tons = 48,000 ounces
=> 1 × 48,000 = 32,000 × ??
=> 48,000 ÷ 32,000 = ??
=> 1.5 tons = ??

Question 11.
65.2 lbs is how many ounces?
Answer:
65.2 lbs is equal to 1,043.2 pounds.

Explanation:
Conversion:
1 pound = 16 ounces.
65.2 lbs = ?? pounds
=> 1 × ?? = 16 × 65.2
=> ?? = 1,043.2 pounds.

Question 12.
80,000 ounces is how many tons?
Answer:
80,000 ounces is equal to 2.5 tons.

Explanation:
Conversion:
1 ton = 32,000 ounces.
?? tons = 80,000 ounces
=> 1 × 80,000 = 32,000 × ??
=>  80,000 ÷ 32,000  = ??
=> 2.5 tons = ??

Question 13.
Three 200-pound men weigh how many tons?
Answer:
Three 200-pound men weigh is equals to 1.6 tons.

Explanation:
Conversion:
1 ton = 2,000 pounds.
?? tons = 3,200 pound men
=> 1 × 3,200 = 2,000 × ??
=> 3,200 ÷ 2,000 = ??
=> 1.6 tons = ??

Question 14.
A 13.5-ton elephant weighs how many pounds?
Answer:
A 13.5-ton elephant weighs equal to 27,000 pounds.

Explanation:
Conversion:
1 ton = 2,000 pounds.
13.5-ton elephant = ?? pounds
=> 1 × ?? = 2,000 × 13.5
=> ?? = 27,000 pounds.

Question 15.
A 1\(\frac{3}{4}\) ton truck can carry 1 \(\frac{3}{4}\) of a ton of materials in its bed. How many pounds is that?
Answer:
Number of tons of materials in its bed truck can carry = 3,500 pounds.

Explanation:
Number of tons truck = 1\(\frac{3}{4}\)
Number of tons of materials in its bed truck can carry = 1 \(\frac{3}{4}\)
Conversion:
1 ton = 2,000 pounds.
1 \(\frac{3}{4}\)  tons = ?? pounds
=> 1 × ?? = 2,000 × 1 \(\frac{3}{4}\)
=> ?? = 2,000 × {[(1× 4) + 3] ÷ 4}
=> ?? = 2,000 × [(4 + 3) ÷ 4]
=> ?? = 2,000 × \(\frac{7}{4}\)
=> ?? = 500 × \(\frac{7}{1}\)
=> ?? = 3,500 pounds.

Question 16.
If there are 1,050 students at school and each eats 3 ounces of turkey burger for lunch, how many pounds of turkey burger is that?
Answer:
Total quantity of pounds of turkey burger for lunch all students ate = 196.875.

Explanation:
Number of students at school = 1,050.
Quantity of ounces of turkey burger for lunch each eats = 3.
Total quantity of ounces of turkey burger for lunch all students ate = Number of students at school × Quantity of ounces of turkey burger for lunch each eats
= 1,050 × 3
= 3,150.
Conversion:
Total quantity of pounds of turkey burger for lunch all students ate =
1 pound = 16 ounces.
?? pounds = 3,150 ounces.
=> 1 × 3,150 = 16 × ??
=> 3,150 ÷ 16 = ??
=> 196.875 pounds = ??

Excel in your academics by accessing McGraw Hill Math Grade 7 Answer Key PDF Lesson 18.2 Customary Units of Liquid Volume existing for free of cost.

McGraw-Hill Math Grade 7 Answer Key Lesson 18.2 Customary Units of Liquid Volume

Exercises
CALCULATE
Question 1.
4 gallons is how many pints?
Answer:
4 gallons is equal to 32 pints.

Explanation:
Conversion:
1 gallon = 8 pints.
4 gallons = ?? pints.
=> 1 × ?? = 8 × 4
=> ?? = 32 pints.

Question 2.
A 33-gallon gas tank has how many quarts?
Answer:
A 33-gallon gas tank has 132 quarts.

Explanation:
Conversion:
1 gallon = 4 quarts.
33 gallon = ?? quarts
=> 1 × ?? = 4 × 33
=> ?? = 132 quarts.

Question 3.
64 quarts is how many gallons?
Answer:
64 quarts is equal to 16 gallons.

Explanation:
Conversion:
1 gallon = 4 quarts.
?? gallons = 64 quarts.
=> 1 × 64 = 4 × ??
=> 64 ÷ 4 = ??
=> 16 gallons = ??

Question 4.
36 pints is how many gallons?
Answer:
36 pints is  equal to 4.5 gallons.

Explanation:
Conversion:
1 gallon = 8 pints.
?? gallons = 36 pints
=> 1 × 36 = 8 × ??
=> 36 ÷ 8 = ??
=> 4.5 gallons = ??

Question 5.
2,000 cups is how many quarts?
Answer:
2,000 cups is equal to 500 quarts.

Explanation:
Conversion:
1 quart = 4 cups.
?? quarts = 2,000 cups
=> 1 × 2,000 = 4 × ??
=> 2,000 ÷ 4 = ??
=> 500 quarts = ??

Question 6.
300 pints is how many cups?
Answer:
300 pints is equal to 600 cups.

Explanation:
Conversion:
1 pint = 2 cups.
300 pints = ?? cups.
=> 1 × ?? = 2 × 300
=> ?? = 600 cups.

Question 7.
64 gallons is how many pints?
Answer:
64 gallons is equal to 512 pints.

Explanation:
Conversion:
1 gallon = 8 pints.
64 gallons = ?? pints.
=> 1 × ?? = 8 × 64
=> ?? = 512 pints.

Question 8.
42 quarts is how many cups?
Answer:
42 quarts is equal to 168 cups.

Explanation:
Conversion:
1 quart = 4 cups.
42 quarts = ?? cups
=> 1 × ?? = 4 × 42
=> ?? = 168 cups.

Question 9.
64 pints is how many gallons?
Answer:
64 pints is equal to 32 gallons.

Explanation:
Conversion:
1 gallon = 2 pints.
?? gallon = 64 pints
=> 1 × 64 = 2 × ??
=> 64 ÷ 2 = ??
=> 32 gallons = ??

Question 10.
132 pints is how many quarts?
Answer:
132 pints is equal to 66 gallons.

Explanation:
Conversion:
1 gallon = 2 pints.
?? gallons = 132 pints
=> 1 × 132 = 2 × ??
=> 132 ÷ 2 = ??
=> 66 gallons = ??

Question 11.
250 cups is how many pints?
Answer:
250 cups is equal to 125 pints.

Explanation:
Conversion:
1 pint = 2 cups.
?? pints = 250 cups
=. 1 × 250 = 2 × ??
=> 250 ÷ 2 = ??
=> 125 pints = ??

Question 12.
175 pints is how many cups?
Answer:
175 pints is equal to 350 cups.

Explanation:
Conversion:
1 pint = 2 cups.
175 pints = ?? cups
=> 1 × ?? = 2 × 175
=> ?? = 350 cups.

Question 13.
88 gallons is how many quarts?
Answer:
88 gallons is equal to 352 quarts.

Explanation:
Conversion:
1 gallon = 4 quarts.
88 gallons = ?? quarts
=> 1 × ?? = 4 × 88
=> ?? = 352 quarts.

Question 14.
42 pints is how many gallons?
Answer:
42 pints is equal to 5.25 gallons.

Explanation:
Conversion:
1 gallon = 8 pints.
?? gallons = 42 pints
=> 1 × 42 = 8 × ??
=> 42 ÷ 8 = ??
=> 5.25 gallons = ??

Question 15.
384 quarts is how many gallons?
Answer:
384 quarts is equal to 96 gallons.

Explanation:
Conversion:
1 gallon = 4 quarts.
?? gallons = 384 quarts
=> 1 × 384 = 4 × ??
=> 384 ÷ 4 = ??
=> 96 gallons = ??

Question 16.
225 cups is how many pints?
Answer:
225 cups is equal to 112.5 pints.

Explanation:
Conversion:
1 pint = 2 cups
?? pints = 225 cups
=> 1 × 225 = 2 × ??
=> 225 ÷ 2 = ??
=> 112.5 pints = ??