Question

Complete the following table and verify Euler's formula in each case.

Faces (F)	6	4	9	7
Edges (E)	12	6	16	15
Vertex (V)	8	4	9	10

Answer 1

	I	II	III	IV
Faces (F)	6	4	9	7
Edges (E)	12	6	16	15
Vertices (V)	8	4	9	10
Euler's formula (F − E + V)	6 − 12 + 8 = 2	4 − 6 + 4 = 2	9 − 16 + 9 = 2	7 − 15 + 10 = 2

Hence Euler's formula is verified for these figures.