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