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Define Euler's relation between the numb...

Define Euler's relation between the number of faces, number of edges and number of vertices for various 3-dimensional figures.

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Knowledge Check

  • The number of faces and edges a tetrahedron respectively has

    A
    6, 6
    B
    4, 6
    C
    4, 4
    D
    5, 5

  • If x, y and z represent the number of faces, number of vertices and number of edges respectively of a polyhedron, then which of the following is true ?

    A
    ` y - 2 = z + x`
    B
    ` x - 2 = z - y `
    C
    ` x + 2 = z - y `
    D
    ` z - 2 = x - y`

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