MHB Maximizing Volume of a 5-Sided Box w/ Cutout Corners

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Dustinsfl
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Consider a sheet of length L and width W.

Each corner is cut out (x by x corners removed).

Detemine the value of x so when the corners are removed and flaps folded up, the five sided box formed will have maximum volume.

SA \(= 1LW + 2 LH + 2WH\) and V \(= LWH\).

I am not sure how to do this maximizing problem.
 
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See http://mathhelpboards.com/math-notes-49/folding-make-boxes-6366.html for a tutorial on this kind of problem. :D
 
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