A rectangular box which is open at the top can be made from an 12-by-30-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 12-inch side and the length by the 30-inch side.)

Question

jim_thompson5910 · Answer

draw out the rectangle first

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jim_thompson5910 · Answer

cut out x by x squares from each corner

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