Aaa container company wants to manufacture a rectangular box with a square base that has a volume of 16 cubic meters. for the top and the bottom of the box, the company decides to use material that costs $4 per square meter. for the sides, the company will use cheaper material that costs $2 per square meter. what dimensions should the box have in order to minimize the cost of manufacturing it? (assume that no material is wasted during the manufacture of the box.)