A closed box with a square base is to have a volume of 256 comma 000 cm cubed. The material for the top and bottom of the box costs $10.00 per square centimeter, while the material for the sides costs $2.50 per square centimeter. Find the dimensions of the box that will lead to the minimum total cost. What is the minimum total cost? Write an equation for C(x), the cost of the box as a function of x, the length of a side of the base.