Posted by **Terry** on Friday, September 16, 2011 at 8:56pm.

A manufacturer uses a 28 x 41 metal sheet to construct an open box by cutting out squares from each corner. What length square should be cut to maximize volume?

- Math -
**Reiny**, Friday, September 16, 2011 at 11:13pm
let each side of the squares cut out be x units

length of box = 41-2x

width of box = 28-2x

height of box = x

volume = x(41-2x)(28-2x)

expand and simplify, you will have a cubic

find the derivative, that will be a quadratic

set it equal to zero, and solve using the quadratic formula

- Math -
**Anonymous**, Saturday, September 17, 2011 at 4:27pm
H035

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