A box has a total surface area of 100. The length of the box is equal to twice its width, as well as equal to 3 less than its height. What is the height of the box?
Equation ==> 2(w(2w) + w(w + 3) + (2w)(w + 3)) = 100
==> 2w^2 - 11w - 40 = 0
==> (2w + 5)(w - 8) = 0,
so w = 8.