A 10-inch square piece of metal is to be used to make an open-top box by cutting equal-sized squares from each corner and folding up the sides. The length, width, and height of the box are each to be less than 7 inches. What size squares should be cut out to produce a box with volume 50 cubic inches?
What size squares should be cut out to produce a box with largest possible volume?

Question

A 10-inch square piece of metal is to be used to make an open-top box by cutting equal-sized squares from each corner and folding up the sides. The length, width, and height of the box are each to be less than 7 inches. What size squares should be cut out to produce a box with volume 50 cubic inches?
 What size squares should be cut out to produce a box with largest possible volume?

zzr0ck3r · Answer

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