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?

(2x-27) (2x-18) x

(27-2x) (18-2x) x

(27-x) (18-x) x

(27-2x) (18-2x) 4x

Question

Naima Larson

Mathematics

18 October, 18:09

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?

(2x-27) (2x-18) x

(27-2x) (18-2x) x

(27-x) (18-x) x

(27-2x) (18-2x) 4x

+4

Answers (1)

Know the Answer?

Haley Chambers · Answer 1

By cutting each corner we have that the resulting dimensions are:

27 - 2x

18 - 2x

Height = x

Therefore, the volume of the box in terms of the variable x, is given by:

V (x) = (x) * (27-2x) * (18-2x)

Answer:

The volume of the box in terms of x is:

(27-x) (18-x) x