# A storage container is a rectangular prism that is 65 centimeters long and 40 centimeters wide. The volume of the container is 62,400 cubic centimeters. What is the height of the container?

Apr 9, 2018

#### Explanation:

The volume of a rectangular prism can be determined with the following formula:
$V = a b c$

You are given the length of two sides $a = 65$ $c m$, $b = 40$ $c m$, and the volume of the rectangular prism $V = 62 , 400$ $c {m}^{3}$. Substituting these values into the formula and then rearranging gives you the value of the third side.

$62400 = 65 \times 40 \times c$

$\frac{62400}{65 \times 40} = c$

$c = 24$ $c m$

So the height of the rectangular prism is $24$ $c m$.