AAAAAAAAGGGGGGGGGHHHHHHHHHHHHHHHH. :|

Calculus is literally killing me. Here's what I'm doing.

A square-based, box-shaped shipping crate is designed to have a volume of 16 ft³. The material used to make the base costs twice as much (per ft²) as the material in the sides, and the material used to make the costs half as much (per ft²) as the material in the sides. What are the dimensions of the crate that minimize the cost of the materials.

Seriously? Why do they do this to me?

Btb, the answer is:

4/(5^1/3) x 4/(5^1/3) x 25^1/3