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A rectangular prism has a length of
9ft, a height of
7ft, and a width of
12ft. What is its volume, in cubic ft?
Answer:
V=◻ft^(3)

A rectangular prism has a length of $9 \mathrm{ft}$ , a height of $7 \mathrm{ft}$ , and a width of $12 \mathrm{ft}$ . What is its volume, in cubic ft? $\newline$ Answer: $V=\square \mathrm{ft}^{3}$

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Volume of cubes and rectangular prisms: word problems

Full solution

Q. A rectangular prism has a length of

9 \mathrm{ft}

, a height of

7 \mathrm{ft}

, and a width of

12 \mathrm{ft}

. What is its volume, in cubic ft?

\newline

Answer:

V=\square \mathrm{ft}^{3}

Identify dimensions and formula: Identify the dimensions of the rectangular prism and the formula for volume. $\newline$ Length $l = 9$ ft $\newline$ Width $w = 12$ ft $\newline$ Height $h = 7$ ft $\newline$ The formula for the volume $V$ of a rectangular prism is $V = l \times w \times h$ .
Substitute given dimensions: Substitute the given dimensions into the volume formula. $V = 9 \, \text{ft} \times 12 \, \text{ft} \times 7 \, \text{ft}$
Perform multiplication: Perform the multiplication to calculate the volume. $\newline$ $V = 9 \times 12 \times 7$ $\newline$ $V = 108 \times 7$ $\newline$ $V = 756$ cubic feet

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