Question

A box without a top is made from a rectangular piece of cardboard, with dimensions 40 inches by 32 inches, by cutting out square corners with side length x inches.

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


(a) (40−2x)(32−2x)x

(b) (40−x)(32−x)x

(c) (2x−40)(2x−32)x

(d) (40−2x)(32−2x)4x

Answer 1

The correct answer would be Choice A.

The find the volume of the box, you need to multiply the L by W by H. Both the length and width have been reduced by 2 x's. And the height will be just x.

Therefore, LWH becomes (40 - 2x)(32 - 2x)x

Answer 2

(a) (40−2x)(32−2x)x

Explanation:

A box without a top is made from a rectangular piece of cardboard, with dimensions 40 inches by 32 inches, by cutting out square corners with side length x inches. both sides are cut by x inches

Length of the box = 40 -x-x= 40-2x inches

Width of the box = 32-x-x= 32-2x inches

height of the box is the side length = x inches

Volume of the box = length * width * height

= (40-2x)(32-2x)x