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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.
PLEASE HELP
Which expression represents the volume of the box in terms of x?

(2x−25)(2x−20)x

(25−2x)(20−2x)x
(25−x)(20−x)x
(25−2x)(20−2x)4x

Respuesta :

raumqari

Answer:

i think its A if it isnt im sorry

Step-by-step explanation:

Answer:

The second option :: V = [tex](25-2x)(20-2x)x[/tex] is correct.

Step-by-step explanation:

The vertical side was 25 inches before cutting out the corners.  

The horizontal side was 20 inches before cutting out the corners.

So now, if you fold all of the corner up, you get a box that has a height of "x".  

The sides are now missing a length of x from each end.  

So the longer edges of the box are now [tex](25-2x)[/tex] inches

The shorter edges of the box are now [tex](20-2x)[/tex] inches

The volume of a box is given by V = length x width x height

So, here the volume becomes:

V = [tex](25-2x)(20-2x)x[/tex] cubic inches.

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