Find the maximum volume of an open box made from 3ft by 8ft rectangular piece of sheet metal by cutting out squares of equal sizes of four corners

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Find the maximum volume of an open box made from a 3' by 8' rectangular sheet with equal squares cut fromt he 4 corners:

The volume is `V=(3-2x)(8-2x)x`

** Each length has a segment of length x cut from both corners; the height of the box will be x **

To find the maximum we take the derivative with respect to x.

`V=4x^3-22x^2+24x` after expanding...

(The entire section contains 173 words.)

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