Mathematics

Mathematics

Problem

A rectangular sheet of cardboard measuring 24 cm24\,\text{cm} by 18 cm18\,\text{cm} has squares of side x cmx\,\text{cm} cut from each corner. The sides are then folded up to form an open box. Which one of the following polynomials represents the volume V(x)V(x) (in cubic centimetres) of the box? a) 4x3+84x2−432x4x^{3}+84x^{2}-432x b) 4x3−84x2+432x4x^{3}-84x^{2}+432x c) x3−42x2+432xx^{3}-42x^{2}+432x d) 4x3−96x2+432x4x^{3}-96x^{2}+432x

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