Cube split into parallelepipeds
Source: 43rd International Tournament of Towns, Junior O-Level P2 & Senior O-Level P2, Fall 2021
February 18, 2023
geometryTournament of Towns
Problem Statement
A cube was split into 8 parallelepipeds by three planes parallel to its faces. The resulting parts were painted in a chessboard pattern. The volumes of the black parallelepipeds are 1, 6, 8, 12. Find the volumes of the white parallelepipeds.Oleg Smirnov