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September 19, 2014

September 19, 2014

Posted by **Carlee** on Sunday, December 16, 2012 at 4:33pm.

- math -
**Steve**, Sunday, December 16, 2012 at 5:40pmv = x(40-2x)(48-2x) = 4x(20-x)(24-x)

v=0 at x=0,20,24, so you know there will be a max for 0 < x < 20

If you haven't had some calculus, this will be hard to find; you may have to do some probing around x=10 and try some values.

If calculus is in your bag of tools, then you know that

dv/dx = 4(x^2 - 88x + 480)

dv/dx=0 when x = 4/3 (11-√31) = 7.24

So, the box is 32.76 x 40.76 x 7.24

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