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Question
If a solid shape has 12 faces and 20 vertices, then the number of edges in this solid is ______.
Solution
If a solid shape has 12 faces and 20 vertices, then the number of edges in this solid is 30.
Explanation:
We know that, Euler's formula for any polyhedron is F + V – E = 2
Given, faces, F = 12, vertices, V = 20
Now, on putting the value of F and V in the Euler's formula, we get 12 + 20 – E = 2
⇒ 32 – E = 2
⇒ 32 – 2 = E
⇒ E = 30
Hence, the number of edges = 30
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