A 6×6 sq. sheet of metal is made into an open box by cutting out a sq. @ each corner and then folding up the four sides. Determine the max. volume, Vmax, of the box.

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The open box will have the following dimensions: l=6-2x,w=6-2x,h=x

(You take a segment of length x from both corners on a side.)

The volume is lxwxh so:

`V=x(6-2x)(6-2x)`

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