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26 May, 07:33

A regular polyhedron has 30 edges and 12 vertices. How many faces does it have?

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  1. 26 May, 08:53
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    There are several information's of immense importance already given in the question. Let us write them down first

    Number of edges of the regular polyhedron (E) = 30

    Number of vertices of the regular polyhedron (V) = 12

    Let us assume the number of faces of the regular polyhedron = F

    Then

    V - E + F = 2

    12 - 30 + F = 2

    f - 18 = 2

    F = 20

    From the above deduction, it can be easily concluded that the number of faces of the regular polyhedron is 20.
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