A box without a top is made from a rectangular piece of cardboard, with dimensions 27 centimeters by 18 centimeters, by cutting out square corners with side length x centimeters. Which expression represents the volume of the box in terms of x?

Question

A. (27−2x)(18−2x)4x

B. (2x−27)(2x−18)x

C. (27−2x)(18−2x)x

D. (27−x)(18−x)x

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Answer 1 · 2018-05-24T02:12:13

C. $(27−2x)(18−2x)x\ "cm"^3$

The box, when folded, will have a height of $x$ cm

The two sides of its square base will be $27-2x$ cm and $18-2x$ cm, respectively.

Thus the volume will be

$(27-2x)(18-2x)x\ "cm"^3$