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Question 76

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


Solution

By using Euler's formula for polyhedron    
F + V - E = 2 
Given, faces (F) = 40, edges (E) = 60.
   40 + V - 60 = 2
   V - 20 = 2
   V = 2 + 20 = 22
Hence, the vertices of the solid are 22.

 

Mathematics
NCERT Exemplar
Standard VIII

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