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July 23, 2014

July 23, 2014

Posted by **Anonymous** on Friday, April 20, 2012 at 1:31pm.

- calculus -
**Steve**, Friday, April 20, 2012 at 2:14pmcut squares of length x

v = x(8.5-2x)^2 = 72.25x - 34x^2 + 4x^3

dv/dx = 72.25 -68x + 12x^2

max/min achieved at x = 17/12 or 17/4

Just knowing about the shape of cubics, it's clear that 17/12 is where the max volume occurs.

So, the box is 8.5-17/6 x 8.5-17/6 x 17/12 = 17/3 x 17/3 x 17/12

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