Q11. - Algebra 1

Question

COOKING What is the volume of a microwave oven that is 18 inches wide by 10 inches long with a depth of $11\frac{1}{2}$ inches?

Step-by-Step Solution

Answer

The volume of the microwave oven is 2070 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 microwave oven is 10 inches long, 18 inches wide, and $11\frac{1}{2}$ inches deep.

Then, $l=10\mathrm{in}.$, $w=18\mathrm{in}.$ and $h=11\frac{1}{2}\mathrm{in}.$

Step 3. Calculate the volume.

The shape of a microwave oven is that of a rectangular prism.

Put $l=10$, $w=18$ and $h=11\frac{1}{2}$ in $V=whl$ to get,

$$\begin{gathered} V=18\times \left(11\frac{1}{2}\right)\times 10 \\ =18\times \frac{23}{2}\times 10 \\ =18\times 23\times 5 \\ =2070 \end{gathered}$$

So, $V=2070$.

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 microwave oven is 2070 cubic inches.