A manufacturer cuts squares from the corners of a rectangular piece of sheet metal that measures 2 centimeters by 8 centimeters. The manufacturer then folds the metal upward to make an open-topped box. Letting x represent the side-lengths (in centimeters) of the squares, find the value of x that maximizes the volume enclosed by this box. Then give the maximum volume. Round your responses to two decimal places.

Question

A manufacturer cuts squares from the corners of a rectangular piece of sheet metal that measures 2 centimeters by 8 centimeters. The manufacturer then folds the metal upward to make an open-topped box. Letting x represent the side-lengths (in centimeters) of the squares,  find the value of x that maximizes the volume enclosed by this box. Then give the maximum volume. Round your responses to two decimal places.

goformit100 · Answer

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