The volume of a rectangular block is 88 cubic inches. The width of the block is twice the height and the length is 9 inches more than the height. Find the dimensions of the block.

Answer 1

W=2H

L=9+H

V=WLH = 88

2H(9+H)H = 88

2H^3 + 18H^2 = 88

H^3 +9H^2 = 44

2^3 +9(2^2) = 8+36 = 44

H=2 inches

L=11 inches

W =4 inches

11x4x2 = 88