Question 53864
S = 2lw + 2lh + 2wh
S - 2lw = 2lh + 2wh
S - 2lw = h(2l + 2w)
(S - 2lw)/(2l + 2w) = h
(72 - 2(6)(3))/(2(6) + 2(3)) = h
(72 - 36)/(12 + 6) = h
(36)/(18) = h
2 = h
The height is two centimeters.