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Math Help - Verbal Problem

  1. #1
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    Exclamation 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? ...

    please help me with this problem
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  2. #2
    Senior Member eumyang's Avatar
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    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}<br />
V &= lwh \\<br />
&= x \cdot x \cdot (x - 20) \\<br />
&= x^2(x - 20) \\<br />
\end{aligned}
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