SOLUTION: An open rectangular box is to be made from a piece of cardboard 20 inches wide and 20 inches long by cutting a square from each corner and bending up the sides. (a) Express the vo

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Question 789015: An open rectangular box is to be made from a piece of cardboard 20 inches wide and 20 inches long by cutting a square from each corner and bending up the sides.
(a) Express the volume V of the box as a function of the size x of the cutout.
Found 2 solutions by mananth, ikleyn:
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website!
An open rectangular box is to be made from a piece of cardboard 20 inches wide and 20 inches long by cutting a square from each corner and bending up the sides.
(a) Express the volume V of the box as a function of the size x of the cutout.
2
Volume of box = x*(20-2x)(20-2x) cu.in
x((400 -80x+4x^2)=V
4x^3-80x^2+400x = V
(rectified)

Answer by ikleyn(52781)   (Show Source):
You can put this solution on YOUR website!
.

The solution and the answer in the post by @mananth are INCORRECT.

The correct solution is

        V(x) = x*(20-2x)*(20-2x) = = = .