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
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.)
check Approved by eNotes Editorial