Posted by **Yoona** on Sunday, December 18, 2011 at 2:40pm.

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 -
**bobpursley**, Sunday, December 18, 2011 at 4:10pm
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.

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