plane that bisects both surface area and volume
Source: VI Soros Olympiad 1999-00 Round 1 11.8 https://artofproblemsolving.com/community/c2416727_soros_olympiad_in_mathematics
May 21, 2024
geometry3D geometrybisectsVolume
Problem Statement
Prove that the plane dividing in equal proportions the surface area and volume of the circumscribed polyhedron passes through the center of the sphere inscribed in this polyhedron.