you are given the task to design a rectangular open topped box that uses at most 864 square inches of cardboard. The base of this box must have the length twice as long as the width. under these condition, what are dimensions of the box that give the maximum volume, and what is the maximum volume? (Prove you have found an absolute maximum)?

Question

anonymous · Answer

I already found the dimensions of the box whose width is 705595 in, height is 7.559531, Length is 15.1190 in. however, i could not prove the absolute maximum, the thing i found is absolute minimum. Can someone help please?

anonymous · Answer

$$SA=4W^2+3456W^(-1)$$