SOLUTION: the volume of a rectangular box is given by v=(length)(width)(height). a 10 in. by 15in. rectangular piece of cardboard with squares with sides of length x cut from each corner is
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Question 197062: the volume of a rectangular box is given by v=(length)(width)(height). a 10 in. by 15in. rectangular piece of cardboard with squares with sides of length x cut from each corner is used to make the box. what is the expression for the volume of the box created by folding up the sides.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The height will be x,
The width will be 10 - 2x, and
The length will be 15 - 2x.
You have to subtract 2x from each of the rectangle dimensions because you are cutting x out of each corner.
So just multiply the three expressions to get your volume as a function of the cutout dimension.
 = x(10 - 2x)(15 - 2x))
You can do the multiplication and term-collecting.
John
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