SOLUTION: I cannot figure out how to put this in form of a quadratic equation. A piece of sheet metal is 2.1 times as long as it is wide. It is to be made into a box with an open top by c

Question 233412: I cannot figure out how to put this in form of a quadratic equation.
A piece of sheet metal is 2.1 times as long as it is wide. It is to be made into a box with an open top by cutting 3-inche squares from each corner and folding up the sides.
I just do not know what to do with the volume. I get this far, but cannot go any further.
V=3(x-6)(2.1x-6). I know I have to distribute the height which is 3, but not sure to what and how many times. I have to use a graphing calculator and use the intesect feature, which I know how to do, but the step I do not know how to do is convert the volume equation to a quadratic equation. Thank You
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A piece of sheet metal is 2.1 times as long as it is wide. It is to be made into a box with an open top by cutting 3-inch squares from each corner and folding up the sides.
I just do not know what to do with the volume. I get this far, but cannot go any further.
V=3(x-6)(2.1x-6)
---
V = 3[2.1x^2 -6x-12.6x+36)
V = 3(2.1x^2 -18.6x + 36)
V = 6.3x^2 - 55.8x + 108
==============================
Cheers,
Stan H.
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