Q8. - Algebra 1

Question

Find the volume of each rectangular prism.

Step-by-Step Solution

Answer

The volume of the rectangular prism is 144 cubic inches.

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.

It is clear, from the given figure, that the length of the prism is 12 in, the width of the prism is 6 in and the height of the prism is 2 in.

Then, $l=12\mathrm{in}.$, $w=6\mathrm{in}.$ and $h=2\mathrm{in}.$

Step 3. Calculate the volume.

Put $l=12$, $w=6$ and $h=2$ in $V=whl$ to get,

$$\begin{gathered} V=6\times 2\times 12 \\ =144 \end{gathered}$$

So, $V=144$.

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 144 cubic inches.