Hilariously Fast Volume Computation with the Divergence Theorem

A fast algorithm for computing the volume of a 3D triangulated mesh uses the divergence theorem to convert a volume integral into a surface integral over the mesh's triangles. By parametrizing each triangle and applying vector calculus, the calculation reduces to a sum of simple cross products and integrals involving vertex coordinates, making it computationally efficient. The method relies on the mesh being a simple, closed surface where the divergence theorem can be directly applied.