A rectangular piece of cardboard has dimension 18 cm x 24 cm. Four squares each "x" cm by "x" cm are cut from the corners. An open box is formed by folding up the flaps.
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The length and width of the box are each reduced by 2x: 18-2x and 24-2x. The height of the open box is x cm.

The volume V is (18-2x)(24-2x)x=4x(9-x)(12-x)=4x(108-21x+x²)=4x³-84x²+432x. V=4x³-84x²+432x.

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