# math

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the frame for a shipping crate is to be constructed from 24 feet of 2 by 2 lumber.

if the crate is to have square ends of side x feet, express the outer volume V as a function of x (disregard the thickness of the lumber)

• math -

V = x^2 * y

where 8x + 4y = 24
so, y = 6-2x

V = x^2 (6-2x)

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