Computing volumes of polyhedra
Eugene L. Allgower, Phillip H. Schmidt · Mathematics of Computation · 1986
In this note we give two simple methods for calculating the volume of any closed bounded polyhedron in R n {{\mathbf {R}}^n} having an orientable boundary which is triangulated into a set of ( n − 1 ) (n - 1) -dimensional simplices. The formulas given require only coordinates of the vertices of the polyhedron.