Question

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

$\ell =2$ in.$w=5$in.$h=12$in.

Short answer

The volume of the rectangular prism is 120 cubic inches.

Step-by-step solution

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 andl is the length of the prism.

Step 2. List the given data.

$l=2\mathrm{in}.$,$w=5\mathrm{in}.$and$h=12\mathrm{in}.$

Step 3. Calculate the volume.

Put $l=2$, $w=5$and $h=12$in $V=whl$to get,

$$\begin{gathered} V=5\times 12\times 2 \\ =120 \end{gathered}$$

So, $V=120$.

Step 4. Determine the unit.

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

So, the volume of the rectangular prism is 120 cubic inches.