A pyramid with square base has 5 faces and 8 edges .by euler’s formula , find the vertices of the pyramid ?​

A pyramid with square base has 5 faces and 8 edges .by euler’s formula , find the vertices of the pyramid ?​

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  1. Answer :

    • 5 is the vertices of the pyramid

    Given :

    • A pyramid with square base has 5 faces and 8 edges by euler’s formula

    To find :

    • Vertices of pyramid

    Solution :

    Given,

    • Number of faces = 5
    • Number of edges = 8

    As we know that

    • Euler’s formula = V E + F = 2

    where , E is edges and F is faces

    》V – E + F = 2

    》V – 8 + 5 = 2

    》V – 3 = 2

    》v = 2 + 3

    》v = 5

    Hence , 5 is the vertices of the pyramid

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