SOLUTION: An open-top box is constructed from a square sheet of tin, 14 inches on each side, by cutting out equal squares at each corner and then folding up the flaps. Express the volume of

Question 668827: An open-top box is constructed from a square sheet of tin, 14 inches on each side, by cutting out equal squares at each corner and then folding up the flaps. Express the volume of the box as a function of x, the length of the side of each cutout square.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
x inches length is cut off from the corners
so the base of the box will be (14-x) , (14-x)
and height = x
V= (14-x)^2*x
V=(196-28x+x^2)*x
V=x^3-28x^2+196x
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