A solid have 18 surface,10 verticles find the number of edges by using eulers formulas​

Question

A solid have 18 surface,10 verticles find the number of edges by using eulers formulas​

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Jasmine 3 weeks 2021-11-07T00:38:55+00:00 1 Answer 0 views 0

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    2021-11-07T00:40:06+00:00

    Answer:

    We are given with the number of faces and vertices and we have to find the number of edges by using Euler’s formula.

    GiveN:

    • No. of faces = 18
    • No. of vertices = 10

    We have to find no. of edges by using Euler’s formula.

    EULER‘S FORMULA:

     \large{ \boxed{ \boxed{ \rm{F + V - E = 2}}}}

    Here F is the number of faces, V is the number of vertices and E is the number of edges.

    So, plug in the number of faces and vertices given to get the number of edges:

    ➝ F + V – E = 2

    ➝ 18 + 10 – E = 2

    ➝ 28 – E = 2

    ➝ E = 28 – 2

    ➝ E = 26

    So, the Number of edges in the solid is:

     \large{ \therefore{ \boxed{ \purple{ \bf{26}}}}}

    And we are done !!

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