Q7. - Algebra 1

Question

Find the volume of each rectangular prism.

Step-by-Step Solution

Answer

The volume of the rectangular prism is 20 cubic meters.

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 2m, the width of the prism is 2m and the height of the prism is 5m.

Then, $l=2\mathrm{m}$, $w=2\mathrm{m}$ and $h=5\mathrm{m}$

Step 3. Calculate the volume.

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

$$\begin{gathered} V=2\times 5\times 2 \\ =20 \end{gathered}$$

So, $V=20$.

Step 4. Determine the unit.

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

 

So, the volume of the rectangular prism is 20 cubic meters.