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?

A. (27−2x)(18−2x)4x

B. (2x−27)(2x−18)x

C. (27−2x)(18−2x)x

D. (27−x)(18−x)x

1 Answer
May 24, 2018

C. #(27−2x)(18−2x)x\ "cm"^3#

Explanation:

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#