Need helping starting this problem find the volume bound by $\displaystyle x+2z=4$ and $\displaystyle 2y+z=2$ in the postive octant. Will this be a triangle based pyramid?
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I think it will be a square based pyramid, which mean it's volume is uniquely determined by it's base area and it's height. $\displaystyle V=\frac{1}{3}Ah$.
I need to gat the answer by using integration.
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