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?

1 Answer
Jun 19, 2016

Answer:

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 xx w xx 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 = 3h#.

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

#288 = 3(4) xx w xx 4#

#w = (288)/(3(4) * 4) = (72)/12 = 6#