A square sheet of metal measuring on each side is to be converted into an open-top…

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

A square sheet of metal measuring 18 cm18\text{ cm} on each side is to be converted into an open-top box by cutting congruent squares from each corner and folding up the sides. What side length of the squares should be removed to produce a box with maximum volume? (a) 4 cm4\text{ cm} (b) 3 cm3\text{ cm} (c) 2 cm2\text{ cm} (d) 6 cm6\text{ cm}

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