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OpenStudy (anonymous):
A rectangular box which is open at the top can be made from an 18-by-12-inch piece of metal by cutting a square from each corner and bending up the sides. Find the dimensions of the box with greatest volume, where h = height, l = length, and w = width. (Note: let the width be determined by the 18-inch side and the length by the 12-inch side.)
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