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?
+37157 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)
