Q73 of 102 Page 181

A polyhedron has 60 edges and 40 vertices. Find the number of its faces.

according to the data given in question

Vertices = 40, Face = ? and Edge = 6


By Euler’s formula we know that


Face + Vertices = Edge + 2


⟹ Face + 40 = 60 + 2


⟹ Face + 40 = 62


⟹ Face = 62-40


⟹ Face = 22.


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