# Texas Go Math Grade 5 Lesson 9.3 Answer Key Volume of a Cube

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## Texas Go Math Grade 5 Lesson 9.3 Answer Key Volume of a Cube

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Keyshon built the cube shown at the right using centimeter cubes. What is the volume of the cube? Use centimeter cubes to build Keyshon’s cube.

Count the cubes in your model. The base is a square with the length of _________ centimeters and a width of _________ centimeters. The height
is centimeters.

The volume of the cube is cubic centimeters.

You can also use the formula V = Bh to find the volume. The volume of the cube is cubic centimeters.

Question 1.
What if the cube had a length of s centimeters? What would the width and height of the cube be?

Question 2.
Write a special formula for the volume of a cube with length s centimeters

Math Talk
Mathematical Processes

Explain how to find the volume of a cube if each side has a length of 3 meters.

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Use a formula to find the volume.

Question 1.
The length of the cube is _________. The width is _________ and the height is _________.
The volume of the cube is
Volume = _________cubic cm

Question 2.

Volume = _________cubic cm

Question 3.

Volume = _________cubic cm

Problem Solving

Question 4.
H.O.T. Reasoning Can you use the formula for the volume of a rectangular prism to find the volume of a cube? Explain.

Question 5.
Multi-Step How much greater is the volume of the green cube than that of the blue cube?

Problem Solving

H.O.T. Pose a Problem
Question 6.
Mustafa builds two cubes using 1-cm cubes. The first cube has a side length of 7 cm. The second cube has a side length of 8 cm.
Use the information about Mustafa’s cubes to write a word problem about volume.
Pose a Problem

Question 7.
H.O.T. Multi-Step Fun Mix cereal comes in two types of boxes. The first box is shaped like a rectangular prism. It is 10 inches long, 5 inches wide, and 12 inches tall. The second box is shaped like a cube with a side length of 9 inches. Which cereal box has a greater volume?

Question 8.
H.O.T. Reasoning A warehouse is shaped like a cube. Its volume is 1,000 cubic meters. The area of the base is 100 square meters. Explain how you can find the height of the warehouse.

Question 9.
Apply Andy orders a stack of pancakes for breakfast. The pancake stack is in the shape of a cube that has a height of 8 inches. If the cost is $0.02 per cubic inch, what is the cost of his breakfast? (A)$10.24
(B) $5.12 (C)$12.80
(D) $6.40 Answer: Question 10. A cube has side lengths of 10 inches. What is the volume of the cube? (A) 3,000 cubic inches (B) 100 cubic inches (C) 1,000 cubic inches (D) 30 cubic inches Answer: Question 11. Multi-Step What is the total volume of the two cubes? (A) 16 cubic units (B) 34 cubic units (C) 30 cubic units (D) 152 cubic units Answer: Texas Test Prep Question 12. Which of the following shows the equation for finding the volume of the cube at the right? (A) V = 4 + 4 + 4 (B) V = 4 × 3 (C) V = 4 × 4 (D) V = 4 × 4 × 4 Answer: ### Texas Go Math Grade 5 Lesson 9.3 Homework and Practice Answer Key Use a formula to find the volume. Question 1. Volume = _________ cubic meters Answer: Question 2. Volume = _________ cubic ft Answer: Question 3. Volume = _________ cubic cm Answer: Question 4. Volume = _________ cubic in. Answer: Problem Solving Question 5. Karin and Hector build two cubes using 1-in. cubes. Hector’s cube has a side length of 12 in. Karin’s cube has a side length of 14 in. What is the difference in volume between the two cubes? Explain. Answer: Question 6. The office supply store sells erasers that fill the box shown at right. Each eraser is 1 cubic inch. Mr. Williams wants to give one eraser to each of his 365 students. If he buys one box of erasers, will he have enough? Explain. Answer: Lesson Check Fill in the bubble completely to show your answer. Question 7. Use the information in Exercise 6 on the previous page to find the cost of a full box of erasers if one eraser costs$0.05
(A) $17.15 (B)$2.45
(C) $3.43 (D)$18.25

Question 8.
A cube has side lengths of 9 centimeters. What is the volume of the cube?
(A) 81 cubic centimeters
(B) 27 cubic centimeters
(C) 729 cubic centimeters
(D) 162 cubic centimeters

Question 9.
Which of the following shows the equation for finding the volume of the cube shown below?

(A) V = 5 × 5 × 5
(B) V = 5 + 5 + 5
(C) V = 5 × 3
(D) V = 5 × 5

Question 10.
The total volume of a cube-shaped shipping container is 729 cubic feet. The area of the base is 81 square feet. Which is the length of one side of the container?
(A) 81 feet
(B) 3 feet
(C) 27 feet
(D) 9 feet

Question 11.
Multi-Step What is the difference between the volume of the rectangular prism and the cube?

(A) 312 cubic units
(B) 280 cubic units
(C) 120 cubic units
(D) 216 cubic units