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


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