Q5. - Algebra 1

Question

Find the volume of each rectangular prism given the length, width, and height.

$l=13 ft, w=9 ft, h=12 ft$

Step-by-Step Solution

Answer

The volume of the rectangular prism is 1404 cubic feet.

Step 1. State the formula.

The formula of volume of a rectangular prism is $V=whl$, where V is the volume, w is the width, h is the height and l is the length of the prism.

Step 2. List the given data.

$l=13\mathrm{ft}$, $w=9\mathrm{ft}$ and $h=12\mathrm{ft}$

Step 3. Calculate the volume.

Put $l=13$, $w=9$ and $h=12$ in $V=whl$ to get,

$$\begin{gathered} V=9\times 12\times 13 \\ =1404 \end{gathered}$$

So, $V=1404$.

Step 4. Determine the unit.

Since the units of length, width and height are all given as feet, the unit of volume must be cubic feet.

 

So, the volume of the rectangular prism is 1404 cubic feet.