Maxima and Minima

A rectangular sheet of metal is 60 cm long and 28 cm wide.  Four equal squares are removed from the corners, and then turned up to form an open rectangular box.  Find the maximum volume of the box.

Source: Rosenberg, R.L. (1984). Elementary Calculus: Course Notes. Ottawa, Canada: Holt, Rinehart and Winston. (Exercise 2: Question 11, p. 11)

Author: ascklee

Dr. Lee teaches at the Wee Kim Wee School of Communication and Information at the Nanyang Technological University in Singapore. He founded The Mathematics Digital Library in 2013.

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