Q. 72
Check whether a polyhedron can have V = 12, E = 6 and F = 8.
Answer :
according to the data given in question
Vertices (V) = 12, Face(F) = 8 and Edge(E) = 6
By Euler’s formula we know that
Face + Vertices = Edge + 2
So,Face + vertices = 8 + 12 = 20
and Edge + 2 = 6 + 2 = 8
⟹ 20
8
Therefore Face + Vertices
Edge + 2
So, the polyhedron is not possible for the above data
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