Using Euler’s formula find the unknown:
Faces | ? | 5 | 20 |
Vertices | 6 | ? | 12 |
Edges | 12 | 9 | ? |
(i) V + F = E + 2
6 + F = 12 + 2
F = 14 - 6
F = 8
Therefore number of faces are 8
(ii) V + F = E + 2
V + 5 = 9 + 2
V = 11 - 5
V = 6
Therefore number of vertices are 6
(iii) V + F = E + 2
12 + 20 = E + 2
E = 32 - 2
E = 30
Therefore number of edges are 8