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August 20, 2014

August 20, 2014

Posted by **Jemima** on Thursday, July 19, 2012 at 11:44pm.

- calc -
**Reiny**, Friday, July 20, 2012 at 9:26amlet each side of the square to be cut out be x inches

length of base = 16-2x

width of base = 10-2x

height of box = x inches

V = x(16-2x)(10-2x) , where 0 < x < 5

I would now expand that to get a cubic

take the derivative, which is a quadratic,

set the derivative equal to zero and solve for x

Very straight forward question, most Calculus texts use that question as an introduction to optimization.

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