Question

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

$\ell =7.8\mathrm{mm},w=0.6\mathrm{mm},h=8\mathrm{mm}$

Short answer

The volume of the rectangular prism is 37.44 cubic millimeters.

Step-by-step solution

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.

$l=7.8\mathrm{mm}$, $w=0.6\mathrm{mm}$and$h=8\mathrm{mm}$

Step 3. Calculate the volume.

Put $l=7.8$, $w=0.6$and $h=8$in $V=whl$to get,

$$\begin{gathered} V=0.6\times 8\times 7.8 \\ =37.44 \end{gathered}$$

So, $V=37.44$.

Step 4. Determine the unit.

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

So, the volume of the rectangular prism is 37.44 cubic millimeters.