Tabulate the number of faces, edges and vertices for the following polyhedrons: (Here ‘V’ stands for number of vertices, ‘F’ stands for number of faces and ‘E’ stands for number of edges).
|Pyramid with square base|
|Prism with square base|
What do you infer from the last two columns? In each case, do you find
, i.e., ? This relationship is called Euler’s formula.
In fact this formula is true for any polyhedron.