Q76 of 102 Page 181

A solid has forty faces and, sixty edges. Find the number of vertices of the solid.

according to the data given in question

Vertices = ?, Faces = 40 and Edge = 60


By Euler’s formula we know that


Face + Vertices = Edge + 2


⟹ 40 + vertice = 60 + 2


⟹ 40 + vertice = 62


⟹ Vertices = 62-40


⟹ Vertices = 22.


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