An open-top box is to be constructed from a 6-in by 8- in
Chapter , Problem 11.3.44(choose chapter or problem)
An open-top box is to be constructed from a 6-in by 8- in rectangular sheet of tin by cutting out squares of equal size at each corner, then folding up the resulting flaps. Let denote the length of the side of each cut-out square. Assume negligible thickness. (a) Find a formula for the volume of the box as a function of . (b) For what values of does the formula from part (a) make sense in the context of the problem? (c) Sketch a graph of the volume function. (d) What, approximately, is the maximum volume of the box?
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