A square sheet of metal has side ((x+6)

MATHEMATICS · Multi-part · AoPS · Mathematics · Follow the Rules · Follow the Rules

Problem

A square sheet of metal has side (x+6) cm(x+6)\,\text{cm}. Squares of side 2 cm2\,\text{cm} are cut from each corner and the sides are folded up to make an open box. (i) Derive volume expression. (ii) Simplify. (iii) Factorise. (iv) Integral values giving zero volume.

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