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The figure has 60 edges and 30 vertices. Use Euler’s formula to find the number of faces in the given polyhedron.

  • Matheng: Let the number of faces ⇒⇒⇒ F
    Number of Vertices        ⇒⇒⇒ V
    Number of Edges          ⇒⇒⇒ E

    Euler's Formula ⇒⇒⇒⇒⇒ F + V − E = 2

    given:⇒⇒⇒
    60 edges and 30 vertices
    ∴ E = 60    and    V = 30
    ∴ F + 30 - 60 = 2
    ∴ F = 2 + 60 - 30 = 32

    Number of faces = 32

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