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Ruth's grandmother gave her a beautiful hand-carved cedar chest for storing sweaters. The chest is shaped like a rectangular prism and has a volume of $12$ cubic feet. It is $3$ feet long and $2$ feet wide. $\newline$ Which equation can you use to find how deep the chest is, $d$ ? $\newline$ Choices: $\newline$ (A) $d = 3 \times 2 \times 12$ $\newline$ (B) $3 \times 2 \times d = 12$ $\newline$ How deep is the chest? $\newline$ Write your answer as a whole number or decimal. Do not round. $\newline$ ____ feet $\newline$

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Volume of cubes and rectangular prisms: word problems

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Q. Ruth's grandmother gave her a beautiful hand-carved cedar chest for storing sweaters. The chest is shaped like a rectangular prism and has a volume of

12

cubic feet. It is

3

feet long and

2

feet wide.

\newline

Which equation can you use to find how deep the chest is,

d

?

\newline

Choices:

\newline

(A)

d = 3 \times 2 \times 12

\newline

(B)

3 \times 2 \times d = 12

\newline

How deep is the chest?

\newline

Write your answer as a whole number or decimal. Do not round.

\newline

____ feet

\newline

Identify formula for depth: Identify the formula to calculate the depth of the chest, $d$ . Since volume $=$ length $*$ width $*$ height, and we know the volume, length, and width, we can rearrange the formula to solve for height (depth).
Calculate depth: Plug in the known values to find the depth, $d$ . Length = $3$ feet, Width = $2$ feet, Volume = $12$ cubic feet.

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