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March 5, 2015

March 5, 2015

Posted by **h** on Friday, November 15, 2013 at 11:35am.

length = m.

width = m.

total height = m.

- calculus -
**Steve**, Friday, November 15, 2013 at 11:46amSo, we have 3 square sections and 4 sides. If the sides are of length x, and the height is y, then the cardboard used is

3x^2 + 4xy = 12

so, y = (12-3x^2)/4x

The volume is

v = x^2y = x^2(12-3x^2)/4x

= (12x - 3x^3)/4

dv/dx = 3 - 9/4 x^2

max volume when dv/dx=0, or x=2/√3

Now just figure y.

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