Packaging An open rectangular box having a volume of 108 in.3 is to be constructed from a tin sheet. Find the dimensions of such a box if the amount of material used in its construction is to be minimal.
Hint: Let the dimensions of the box be x in. by y in. by z in. Then xyz = 108, and the amount of material used is given by S = xy+ 2yz + 2xz. Show that
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Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
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