Question

A box without a top is made from a rectangular piece of cardboard, with dimensions 25 inches by 20 inches, by cutting out square corners with side length x inches.

Which expression represents the volume of the box in terms of x?

Answer 1

to the risk of sounding redundant.

check the picture below.

Answer 2

(d) (25 -2x)(20 -2x)x

Explanation:

The volume of the box will be the product of its dimensions.

Application

When a square of side length x is cut from each corner, the resulting shape is like that shown in the attachment. The dimensions of the base of the box are each (2x) shorter than the original cardboard.

The height of the fold-up side is x. So, the dimensions are ...

(25 -2x) by (20 -2x) by x

The volume of the box is ...

V = LWH

V = (25 -2x)(20 -2x)x