1.

Find the number of vertices in a polyhedron which has 30 edges and 12 faces.

Answer»

For any polyhedron, 

F + V – E = 2 

Here, F = 12, V = ?, E = 30 

Using above formula, 

12 + V – 30 = 2 

V – 18 = 2 

V = 2 + 18 

V = 20



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