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Mathematics

If a polyhedron has 10 faces and 8 vertices, find the number of edges in it.

3D in 2D

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Answer

Given:

F = 10, V = 8

According to Euler's formula,

F + V - E = 2

⇒ 10 + 8 - E = 2

⇒ 18 - E = 2

⇒ E = 18 - 2

⇒ E = 16

Hence, the number of edges = 16.

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