An icosahedron has 30 edges and 12 vertices. How many faces does it have?

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Solution

The correct option is A 20
Euler's polyhedron formula, $V - E + F = 2$
V = number of vertices
E = number of edges
F = number of faces
So, $12 - 30 + F = 2$
$F - 18 = 2$
$F = 18 + 2$
$F = 20$
Number of faces = 20.

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