TITLE: How to calculate volume of 3d convex hull?
QUESTION [5 upvotes]: Convex hull is defined by a set of planes (point on plane, plane normal).
I also know the plane intersections points which form polygons on each face.
How to calculate volume of convex hull?

REPLY [3 votes]: Find a point $O$ within the hull.  Then add up the volumes of the cones made by $O$ and each face.  Volume of each cone is $\frac{1}{3}\times \text{(height)}\times \text{(area of face)}$