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Question

A polyhedron with 20 vertices and 30 faces has ___ edges.


A

10

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B

46

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C

50

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D

48

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Solution

The correct option is D

48


V = 20, F = 30, E = ?

Using Euler's formula we get,

F + V - E = 2

⇒ 30 + 20 - E = 2

⇒ 50 - E = 2

⇒ E = 48


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