Question: A rectangular box with no top is to have a square base and a volume of 441 ft 3 . If the material for the

A rectangular box with no top is to have a square base and a volume of 441 ft³. If the material for the base costs 36 cents per square foot and the material for the sides costs 14 cents per square foot, determine the dimensions of the box that minimize the total cost of materials used in constructing the rectangular box.

Width of the base, x =

Height of the box, y =

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