A square piece of cardboard measuring 20 cm on a side is to be made into an open box…

MATHEMATICS · Single correct · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

A square piece of cardboard measuring 20 cm on a side is to be made into an open box by cutting identical squares of side length xx from each corner and folding up the sides. Which expression gives the volume V(x)V(x), in cm3^3, of the box in terms of xx? (a) x(20−x)2x\left(20-x\right)^2 (b) x(20−2x)2x\left(20-2x\right)^2 (c) 400x−4x3400x-4x^3 (d) x(20−2x)(20−x)x\left(20-2x\right)(20-x)

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