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10 April, 19:36

A convex polyhedron has faces that consist of 30 squares, 20 hexagons, and 12 octagons. The polyhedron has 120 vertices. How many edges does it have? Euler's formula: V + F = E + 2

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  1. 10 April, 19:53
    0
    180 is correct
  2. 10 April, 20:01
    0
    Add the total faces: 30 + 20 + 12 = 62

    Using the given equation: V + F = E + 2

    You have F = 62, V = 120

    Now solve for E:

    120 + 62 = E + 2

    Simplify:

    182 = E + 2

    Subtract 2 from both sides:

    E = 182 - 2

    E = 180

    It has 180 edges.
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