SOLUTION: assume we take a sheet of paper that is 8.5 by 11 inches. we will transform it into a box by cutting identical squares of side length x from each corner, and fold up the sides to
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Question 225909: assume we take a sheet of paper that is 8.5 by 11 inches. we will transform it into a box by cutting identical squares of side length x from each corner, and fold up the sides to form the box. express the volume of the box as a function of x. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! assume we take a sheet of paper that is 8.5 by 11 inches. we will transform it
into a box by cutting identical squares of side length x from each corner,
and fold up the sides to form the box.
express the volume of the box as a function of x.
:
Cutting these 4 squares out each with a side = x, assuming an open box
Vol = length * width * height
V = (11 - 2x) * (8.5 - 2x) * x
FOIL
v = (93.5 - 22x - 17x + 4x^2) * x
Which is:
V = x(4x^2 - 39x + 93.5)
:
V(x) = 4x^3 - 39x^2 + 93.5x
