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
2 answers:
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:
(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
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