Q71 of 102 Page 181

Can a polyhedron have V = F = 9 and E = 16? If yes, draw its figure.

according to the data given in question

Vertices (V) = Face (F) = 9 and Edge (E) = 16


By Euler’s formula we know that


Face + Vertices = Edge + 2


Face + vertices = 9 + 9 = 18


Edge + 2 = 16 + 2 = 18


Therefore Face + Vertices = Edge + 2 = 18


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So, the polyhedron is possible for the above data.


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