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Posted by **Haru** on Monday, July 21, 2008 at 11:22am.

I'm not sure how to start this out. Do I multiply x(8.5-2x)(11-2x)?

- Math -
**Matt**, Monday, July 21, 2008 at 11:57amWell, assuming there is no bottom to the box (taken from where the instructions say you only cut 4 pieces of paper), the largest length possible that can be cut along the 8.5 in side is 4.25 inches. So, assuming the constraints from the instructions the way I interpreted, that is the length.

- Math -
**tchrwill**, Monday, July 21, 2008 at 1:20pmThe volume V will be

V = (8.5 - 2x)(11 - 2x)x

V = 4x^3 - 39x^2 + 93.5x

Taking the first derivitive:

dV = 12x^2 - 78x + 93.5

Set equal to zero and solve for x.

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