SOLUTION: Volume. An open box is constructed from a square 10-inch piece of cardboard by cutting squares of length x inches out of each corner and folding the sides up. Express the volume of

Algebra ->  Functions -> SOLUTION: Volume. An open box is constructed from a square 10-inch piece of cardboard by cutting squares of length x inches out of each corner and folding the sides up. Express the volume of      Log On


   



Question 356157: Volume. An open box is constructed from a square 10-inch piece of cardboard by cutting squares of length x inches out of each corner and folding the sides up. Express the volume of the box as a function of x, and state the domain.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
the cardboard = 10 by 10
x is cut off from corner
so the length of the box will be 10-2x
the width also will be 10-2x
the height = x
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Volume V = (10-2x)^2*x
V=(100-40x+4x^2)*2x
V= 8x^3-80x^2+200x

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m.ananth@hotmail.ca