Question

50 POINTS NEED HELP QUICK!!

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?

(2x−25)(2x−20)x

(25−2x)(20−2x)x

(25−2x)(20−2x)4x

(25−x)(20−x)x

Answer 1

The correct answer is B, (25−2x)(20−2x)x.

Answer 2

The appropriate choice is ...
(25−2x)(20−2x)x

_____
When x is cut from each side of the 25 dimension, the remaining dimension of the bottom of the box is 25-2x. Similarly, when x is cut from each side of the 20 dimension, the remaining dimension of the bottom of the box is 20-2x. The length of the side that is folded up is x, so that is how deep the box is.

The volume is the product of the dimensions of the bottom and the side:
(25−2x)(20−2x)x