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A rectangular prism has a length of 12in, a height of gin, and a width of 8in. What is its volume, in cubic in?
Answer:
V=◻ in
^(3)

A rectangular prism has a length of $12$ $\text{in}$ , a height of in, and a width of $8$ $\text{in}$ . What is its volume, in cubic in? $\newline$ Answer: $V=\square$ $\text{in}$ $^{3}$

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Volume of cubes and rectangular prisms: word problems

Full solution

Q. A rectangular prism has a length of

12

\text{in}

, a height of in, and a width of

8

\text{in}

. What is its volume, in cubic in?

\newline

Answer:

V=\square

\text{in}

^{3}

Formula Application: To find the volume of a rectangular prism, we use the formula $V = \text{length} \times \text{width} \times \text{height}$ . We have been given the dimensions of the rectangular prism as follows: $\newline$ Length ( $l$ ) = $12$ inches $\newline$ Width ( $w$ ) = $8$ inches $\newline$ Height ( $h$ ) = $9$ inches $\newline$ Now, we will calculate the volume using these dimensions. $\newline$ $V = l \times w \times h$ $\newline$ $V = 12 \,\text{in} \times 8 \,\text{in} \times 9 \,\text{in}$
Multiplication Calculation: Perform the multiplication to find the volume. $\newline$ $V = 12 \times 8 \times 9$ $\newline$ $V = 96 \times 9$ $\newline$ $V = 864$ cubic inches
Final Volume Calculation: We have calculated the volume without making any mathematical errors, and the units are correctly stated as cubic inches, which is the standard unit for volume.

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