cross sectional area of a cube drawn by a plane
Source: IV Soros Olympiad 1997-98 R3 10.11 https://artofproblemsolving.com/community/c2416727_soros_olympiad_in_mathematics
June 2, 2024
geometry3D geometrycubePlanegeometric inequality
Problem Statement
A plane intersecting a unit cube divides it into two polyhedra. It is known that for each polyhedron the distance between any two points of it does not exceeds m. What can be the cross-sectional area of a cube drawn by a plane?