A polyhedron with 20 vertices and 30 faces, find the number of edges.
$[1 M a r k]$

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Solution

V = 20, F = 30, E = ?

Using Euler's formula we get,

F + V - E = 2

⇒ 30 + 20 - E = 2

⇒ 50 - E = 2

⇒ E = 48
$[1 M a r k]$

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