# The volume of this box is 288 cubic cm, and the height is 4 cm. the length is triple the height, how do you find the width?

Jun 19, 2016

The width is $6$ cm. You can find it by taking the formula for the volume of a cube and rearranging it to find the width.

#### Explanation:

The volume of a cube is a product of its length, width, and height;

$V = l \times w \times h$

In this problem, we are given that the volume of the box is $288$ cubic cm: $V = 288$ and that the height is $4$ cm: $h = 4$. We also know that the length is three times the height: $l = 3 h$.

So if we plug in what we know from the problem into the volume formula:

$288 = 3 \left(4\right) \times w \times 4$

$w = \frac{288}{3 \left(4\right) \cdot 4} = \frac{72}{12} = 6$