MathDB
prism by cubes

Source: VIII May Olympiad (Olimpiada de Mayo) 2002 L2 P1

September 19, 2022
geometry3D geometryprism

Problem Statement

Using white cubes of side 11, a prism (without holes) was assembled. The faces of the prism were painted black. It is known that the cubes left with exactly 44 white faces are 2020 in total. Determine what the dimensions of the prism can be. Give all the possibilities.