Verify Euler’s formula for each of the following polyhedrons:

(i) Vertices = 10


Faces = 7


Edges = 15


V + F = E + 2


10 + 7 = 15 + 2


17 = 17


(ii) Vertices = 9


Faces = 9


Edges = 16


V + F = E + 2


9 + 9 = 16 + 2


18 = 18


(iii) Vertices = 14


Faces = 8


Edges = 20


V + F = E + 2


14 + 8 = 20 + 2


22 = 22


(iv) Vertices = 6


Faces = 8


Edges = 12


V + F = E + 2


6 + 8 = 12 + 2


14 = 14


(v) Vertices = 9


Faces = 9


Edges = 16


V + F = E + 2


9 + 9 = 16 + 2


18 = 18


6