Q12. - Algebra 1

Question

BOXES A cardboard box is 32 inches long, 22 inches wide, and 16 inches tall. What is the volume of the box?

Step-by-Step Solution

Answer

The volume of the cardboard box is 11264 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.

A cardboard box is 30 inches long, 22 inches wide, and 16 inches tall.

Then, $l=32\mathrm{in}.$, $w=22\mathrm{in}.$ and $h=16\mathrm{in}.$

Step 3. Calculate the volume.

The shape of a cardboard box is that of a rectangular prism.

Put $l=32$, $w=22$ and $h=16$ in $V=whl$ to get,

$$\begin{gathered} V=22\times 16\times 32 \\ =11264 \end{gathered}$$

So, $V=11264$.

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 cardboard box is 11264 cubic inches.