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 8 less than its height. What is the height of the box?
l = 2w w = 1/2 l
l = h-8 h = l+8
l
2* ( lw + wh + lh) = 100
2 ( l (1/2 l) + 1/2 l (l+8) + l ( l+ 8 ) ) = 100 Now expand this and solve for l then h = l + 8
( you will need to use the Quadratic Formula)