# calculus

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1. A sheet of cardboard 3 ft. by 4 ft. will be made into a box by cutting equal-sized squares from each corner and folding up the four edges. What will be the dimensions of the box with largest volume?

• calculus -

volume= LWH

but 2H+W=3 W=3-2H
and 2H+L=4 or L=4-2H

Put those W, L into the V formula, and take the derivative with respect to H. set to zero, and solve for H

This assumes the box has an open top.

• calculus -

32/2

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