A rectangle is three times as long as it is wide. Squares of side 2 feet are cut from each corner. Then the sides are folded up to make an open box. Express the volume of the box as a function of the width, x.

Answer 1

box width ... x - (2 * 2)

box length ... 3 x - (2 * 2)

box depth ... 2

v(x) = 2 (x - 4) (3 x - 4)

Answer 2

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