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Question

Using Euler's formula, find the unknown. [4 MARKS]

Faces?520Vertices6?12Edges129?

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Solution

Formula: 1 Mark
Application: 1 Mark each

Euler's formula = F + V - E = 2


F + 6 - 12 = 2

F - 6 = 2

F = 8


5 + V - 9 = 2

V - 4 = 2

V = 6


20 + 12 - E = 2

32 - 2 = E

E = 30


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