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

Question

Mathematics

Harley Mahoney

19 December, 04:25

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 (1)

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Skipper · 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