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Question

If a polyhedron has 18 edges, 12 vertices, then it has ___ faces.


A

10

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B

9

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C

8

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D

6

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Solution

The correct option is C

8


E = 18, V = 12, F = ?

Euler's Formula:

F + V - E = 2

F + 12 - 18 = 2

F - 6 = 2

F = 8


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