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

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) (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
...
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
...

...
You will see from graph thet when x=0,x=6,x=7.5 Volume is =0
...
there is a peak at 2.2 for the x value.
V = 177. maximum approximately at cut x= 2.2
...
m.ananth@hotmail.ca

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