A shoe box has a volume of 64 cubic inches and a surface area of 160 square inches. What is the surface area of a similar shoe box if its volume is only 27 cubic inches? Show your work or explain how you got your answer.
The scale factor of the smaller box to the larger = ∛ [ 27 /64] = 3/4
The surface area of the smaller box =
(surface area of larger box) * (scale factor)^2 =
(160) * (3/4)^2 =
(160) * 9/16 =