Mathematics

Question

Use Euler's formula to find the missing number. Vertices: 14 Edges: 36 Faces:?

2 Answer

  • Euler`s polyhedron formula is:
    V - E + F = 2
    where V is the number of vertices, E is the number of edges and F is the number of faces.
    V = 14, E = 36
    14 - 36 + F = 2
    F = 36 + 2 - 14
    F = 24
    Answer: There are 24 Faces.
  • Answer:Faces : 24

    Step-by-step explanation:

    Given: Vertices: 14

    Edges: 36

    We know that the Euler's formula is given by:

    [tex]V - E + F = 2[/tex], where V is the number of vertices , E is the number of edges and F is the number of faces in a polyhedron.

    Put V=14 and E=36 in the equation, we get

    [tex]14-36+F=2\\\\\Rightarrow-22+F=2\\\\\Rightarrow\ F=22+2\\\\\Rightarrow\ F=24[/tex]

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