A cake is constructed in the shape of a right rectangular prism with a square base. suppose that it costs 1 cent/square inch to frost the sides of the cake, and 4 cents/square inch to frost the top. s

A cake is constructed in the shape of a right rectangular prism with a square base. suppose that it costs 1 cent/square inch to frost the sides of the cake, and 4 cents/square inch to frost the top. suppose one is required to construct a cake that is 2000 cubic inches in volume. what are the dimensions that minimize the cost of frosting