Q3. - Algebra 1

Question

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

$l=6 \mathrm{yd}, w=2 \mathrm{yd}, h=4 \mathrm{yd}$

Step-by-Step Solution

Answer

The volume of the rectangular prism is 48 cubic yards.

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.

$l=6\mathrm{yd}$, $w=2\mathrm{yd}$ and $h=4\mathrm{yd}$

Step 3. Calculate the volume.

Put $l=6$, $w=2$ and $h=4$ in $V=whl$ to get,

$$\begin{gathered} V=2\times 4\times 6 \\ =48 \end{gathered}$$

So, $V=48$.

Step 4. Determine the unit.

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

 

So, the volume of the rectangular prism is 48 cubic yards.