Section D Section D Checkpoint

Problem 1

A rectangular piece of paper has an area of

5\frac{5}{8}

square feet and a side length of

1\frac{1}{4}

feet. What is its width in feet?

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Solution

4\frac{1}{2}

feet.

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Sample Response

4\frac{1}{2}

feet.

Problem 2

A rectangular prism that measures $2\frac{1}{2}$ inches in length, 2 inches in width, and 3 inches in height is packed with $\frac{1}{2}$ -inch cubes.

Select all the strategies for finding the volume of the prism in cubic inches.

Multiply 5 by 4, and then multiply by 6.

Multiply 5 by 3.

Find the number of

\frac{1}{2}

-inch cubes that can be packed in the prism.

Multiply

2\frac{1}{2}

by 2, and then multiply by 3.

Multiply the number of

\frac{1}{2}

-inch cubes in the prism by

\frac{1}{8}

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Solution

B, D, E

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Sample Response

B, D, E

Problem 3

A pool in the shape of a rectangular prism holds 11 cubic meters of water. The area of the base of the pool is $8\frac{4}{5}$ square meters.

What is the height of the water in meters? Show your reasoning.

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Solution

1\frac{1}{4}

meters. Sample reasoning:

8\frac{4}{5}

\frac{44}{5}

. Dividing the volume by the area of the base gives the height:

11 \div \frac{44}{5} = 11 \boldcdot \frac{5}{44} = \frac{55}{44} = \frac{5}{4}

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Sample Response

1\frac{1}{4}

meters. Sample reasoning:

8\frac{4}{5}

\frac{44}{5}

. Dividing the volume by the area of the base gives the height:

11 \div \frac{44}{5} = 11 \boldcdot \frac{5}{44} = \frac{55}{44} = \frac{5}{4}