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Question

Question 7
Using Euler's formula, find the unknown:
Faces?520Vertices6?12Edges129?


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Solution

By euler’s formula, we have
F + V - E = 2

i) F + 6 – 12 = 2
F = 2 + 6
F = 8
ii) 5 + V – 9 = 2
V-4 = 2
V = 6
iii) 20 + 12 – E = 2
32 – E = 2
E = 30


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