Abox 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

(a) (40−2x)(32−2x)x

Step-by-step 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

step-by-step explanation:

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