A square sheet of metal of side 30 cm is to be made into an open box by cutting equal…

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

Problem

A square sheet of metal of side 30 cm is to be made into an open box by cutting equal squares of side

x

cm from each corner and folding up the flaps. For which value of

x

is the volume of the box maximised? (a)

7.5\text{ cm}

(b)

5\text{ cm}

(c)

10\text{ cm}

(d)

4\text{ cm}