Your goal is to construct a rectangular box with a top on it that has the smallest possible surface area in which a football and a basketball, both fully inflated, will just fit into at the same time.

Your goal is to construct a rectangular box with a top on it that has the smallest possible surface area in which a football and a basketball, both fully inflated, will just fit into at the same time. The following are the measurement of the football and basketball: Football, Length 11.55inches, Width 6.5inches Height 6.5inches, basketball length 9.44inches.