Find the dimensions of a rectangular box with a square base and an open top that will maximize the cost of materials. The base (bottom) costs 1 cents per square inch. The exterior volume of the box is to be 100 cubic inches.

Please show and explain steps, thank you.

Question

Find the dimensions of a rectangular box with a square base and an open top that will maximize the cost of materials. The base (bottom) costs 1 cents per square inch. The exterior volume of the box is to be 100 cubic inches.

Please show and explain steps, thank you.

anonymous · Answer

|dw:1322470526496:dw|
If you are in Calculus, take the derivative; if you are in Alg 2, graph it into your graphing calculator.