Define Euler's relation between the number of faces, number of edges and number of vertices for various 3-dimensional figures.

Leonhard Euler has defined the relation between the number of faces, number of edges and number of vertices for various 3-dimensional figures is called as Euler's formula. This formula works with shapes called Polyhedron. A Polyhedron is a closed solid shape which has flat faces and straight edges like cube.


According to him


F + V – E = 2


Where F denotes the number of face


V denotes the number of vertices


E denotes the number of edges.


Shape



Faces



Vertices



Edges



F + V – E



Cube



6



8



12



2



Octahedron



8



6



12



2



1