A rectangular box with a volume of 540 ft 3 is to be constructed with a square base and top. The cost per square foot for the bottom is 15 cents, for the top is 10 cents, and for the sides is 2.5...

A rectangular box with a volume of 540 ft³is to be constructed with a square base and top. The cost per square foot for the bottom is 15 cents, for the top is 10 cents, and for the sides is 2.5 cents. What dimensions will minimize the cost?

What are the dimensions of the box?

a. What is the length of one side of the base?

b. What is the height of the box?