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Lucy bought a fish tank shaped like a rectangular prism for her new betta fish. The tank holds $2,244$ cubic inches of water. It is $12$ inches long and $11$ inches wide. $\newline$ Which equation can you use to find the height of the tank, $h$ ? $\newline$ Choices: $\newline$ (A) $12 \times 11 \times h = 2,244$ $\newline$ (B) $h = 12 \times 11 \times 2,244$ $\newline$ What is the height of the tank? $\newline$ Write your answer as a whole number or decimal. Do not round. $\newline$ ____ inches $\newline$

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Volume of cubes and rectangular prisms: word problems

Full solution

Q. Lucy bought a fish tank shaped like a rectangular prism for her new betta fish. The tank holds

2,244

cubic inches of water. It is

12

inches long and

11

inches wide.

\newline

Which equation can you use to find the height of the tank,

h

?

\newline

Choices:

\newline

(A)

12 \times 11 \times h = 2,244

\newline

(B)

h = 12 \times 11 \times 2,244

\newline

What is the height of the tank?

\newline

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

\newline

____ inches

\newline

Identify formula: Step $1$ : Identify the correct formula to calculate the height of the tank. Since the volume of a rectangular prism is given by the formula $\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}$ , and we need to find the height, we rearrange the formula to solve for height, $h$ .
Calculate height: Step $2$ : Calculate the height using the formula derived in Step $1$ .

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