# Math Help - Verbal Problem

1. ## Verbal Problem

A rectangular box with a square base is 20 inches wider than it is tall. If x represents the width of the base of the box, then the volume of the box as a function of x is? ...

2. The volume of a rectangular prism is length * width * height.
$V = lwh$

You're given that the width is x.

Since the prism has a square base, the length is also x.

If the box is "20 inches wider than it is tall," then the height is the width minus 20 inches, or height = x - 20.

Put it all together you get
\begin{aligned}
V &= lwh \\
&= x \cdot x \cdot (x - 20) \\
&= x^2(x - 20) \\
\end{aligned}