If a polyhedron has 6 vertices and 12 edges. What is the number of faces it has?

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• A 6
• B 8
• C 12
• D 18

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Answer: B. 8

By Euler’s formula we know that:

For any polyhedron,

F + V – E = 2

F = 2-V+E

F = 2 – 6+12 = 8

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