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Question

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



A

50

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B

48

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C

46

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D

10

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Solution

The correct option is B

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


Mathematics

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