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?
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