A box is to be made out of a 6 by 14 piece of cardboard. Squares of equal size will be cut out of each corner, and then the ends and sides will be folded up to form a box with an open top. Find the length L, width W, and height H of the resulting box that maximizes the volume.

Question

Kaya Baldwin

Mathematics

26 June, 12:32

A box is to be made out of a 6 by 14 piece of cardboard. Squares of equal size will be cut out of each corner, and then the ends and sides will be folded up to form a box with an open top. Find the length L, width W, and height H of the resulting box that maximizes the volume.

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Hillary Henry · Answer 1

(2x + L) (2x+W) use this equation x represents the amount taken from each side note that the amount of x is subtracted twice from the length and width