Question

a rectangular box is to be constructed with its length four times the size of
its width, and its height one half the size of its length. the volume of the box
must be 1000 cubic centimeters. find the dimensions of the box

Answers

V = WxLxH
L = 4W
H = L/2 = 2W

1000 = Wx4Wx2W = 8W<sup>3</sup>
125 = W<sup>3</sup>
W=5

I assume you can work out the other dimensions

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