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25 May, 04:19

Find the number of vertices of a polyhedron that has 12 faces and 30 edges

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  1. 25 May, 07:56
    0
    20

    Step-by-step explanation:

    Euler's formula for polyhedra states that

    F + V - E = 2

    where F is faces, V is vertices and E is edges

    Here F = 12, E = 30, thus

    12 + V - 30 = 2, that is

    V - 18 = 2 (add 18 to both sides)

    V = 20 ← number of vertices
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