A rectangular box with the square base is made of two different materials. The material for the base and the top costs $ 3 per m2, and the material for the side costs $ 1 per m2. Assume that the total cost of the box is fixed at $72. Find the width and height of the box that will maximize its volume. The total cost of the box - 6(width) | 4 width . height The volume of the box is V - (width) . height