A by rectangular sheet of metal will be made into an open-top box by cutting…

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

A 60 cm60\text{ cm} by 30 cm30\text{ cm} rectangular sheet of metal will be made into an open-top box by cutting identical squares of side length xx centimeters from each corner and folding up the sides. Determine the value of xx (to two decimal places) that maximizes the volume of the box.

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