Q1 of 23 Page 1

Solve any five sub-questions:

Using Euler’s formula, find V if E = 30, F = 12.

The given figure is a prism. The 2-D diagram of prism is as shown below:


Here given,


Edges, E = 30


Faces, F = 12


To find: Vertices, V


By Euler’s Formula,


F + V – E = 2


12 – 30 + V = 2


V – 18 = 2


V = 2 + 18


∴ Vertices, V = 20


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