Section B Section B Checkpoint

Problem 1

Find the volume of the rectangular prism. Explain or show your reasoning.

Rectangular prism. 7 inch by 4 inch by 5 inch

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Solution

140 cubic inches. Sample response: The base area is

7 \times 4

or 28 square inches, and I multiplied that by the height,

28 \times 5 = 140

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Sample Response

140 cubic inches. Sample response: The base area is

7 \times 4

or 28 square inches, and I multiplied that by the height,

28 \times 5 = 140

Problem 2

Explain or show how the expression $4 \times 48$ represents the volume of the rectangular prism in cubic units.

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Solution

Sample response: The base that the prism sits on has an area of $8 \times 6$ or 48 square units. There are 4 layers of 48 unit cubes in the prism, so its volume is $4 \times 48$ cubic units.

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Sample Response

Sample response: The base that the prism sits on has an area of $8 \times 6$ or 48 square units. There are 4 layers of 48 unit cubes in the prism, so its volume is $4 \times 48$ cubic units.

Problem 3

A box is shaped like a rectangular prism. Its measurements are 6 centimeters by 2 centimeters by 15 centimeters. Select all expressions that represent the volume of the box in cubic centimeters.

6 \times 2 \times 15

2 \times 90

12 \times 30

8 \times 15

15 \times 12

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Solution

A, B, E

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Sample Response

A, B, E