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How can I obtain the volume of an irregular body if I just know the vertex coordinates of the irregular body?

Asked by xichyu (222points) May 12th, 2016

I want to calculate the volume of an irregular body(the boundaries are convex),but I just know the vertex coordinates of the irregular body?
I know Shoelace formula can obtain the area of irregular surface by (https://en.wikipedia.org/wiki/Shoelace_formula). So I think the the volume of an irregular body(the boundaries are convex)can be solved.

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