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Mathematics

If in a polyhedron, number of faces = 20 and number edges = 30; the number of vertices is :

  1. 12

  2. 6

  3. 8

  4. 20

3D in 2D

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Answer

Given:

F = 20, E = 30

According to Euler's formula,

F + V - E = 2

⇒ 20 + V - 30 = 2

⇒ V - 10 = 2

⇒ V = 2 + 10

⇒ V = 12

Hence, option 1 is the correct option.

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