SOLUTION: Write an equation expressing the volume of a box made from a paper 12" x 15" from which a square with side length x is cut from each corner.Graph on your calculator the equation an

Algebra ->  Probability-and-statistics -> SOLUTION: Write an equation expressing the volume of a box made from a paper 12" x 15" from which a square with side length x is cut from each corner.Graph on your calculator the equation an      Log On


   

Question 394888: Write an equation expressing the volume of a box made from a paper 12" x 15" from which a square with side length x is cut from each corner.Graph on your calculator the equation and find the maximum volume possible.
i dont get how u graph it?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation expressing the volume of a box made from a paper 12" x 15" from which a square with side length x is cut from each corner.Graph on your calculator the equation and find the maximum volume possible.
width of box = 12-2x
length of box = 15-2x
H= x
..
Volume = L*W*H
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V = (12-2x)(15-2x)*x
..
V= (180-24x-30x-4x^2)*x
V= x*(-4x^2-54x+180)
V=4x^3-54x^2+180x
...
graph%28500%2C500%2C-5%2C10%2C-10%2C400%2Cy=4x%5E3-54x%5E2%2B180x%29
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You will see from graph thet when x=0,x=6,x=7.5 Volume is =0
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there is a peak at 2.2 for the x value.
V = 177. maximum approximately at cut x= 2.2
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m.ananth@hotmail.ca