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ICSE-VIII-Mathematics

19: Representing 3-D in 2-D Class 8 Maths

with Solutions -
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  • #4
    Verily Euler’s formula for the following three dimensional figures:
    Ans : (i) Number of vertices = 6
    Number of faces = 8
    Number of edges = 12
    Using Euler formula,
    F + V - E = 2
    ⇒ 8 + 6 - 12 = 2
    ⇒ 2 = 2Hence, proved.
    (ii) Number of vertices = 9
    Number of faces = 8
    Number of edges = 15
    Using, Euler’s formula,
    F + V - E = 2
    ⇒ 9 + 8 - 15 = 2
    ⇒ 2 = 2Hence, proved.
    (iii) Number of vertices = 9
    Number of faces = 5
    Number of edges = 12
    Using, Euler’s formula,
    F + V - E = 2
    ⇒ 9 + 5 - 12 = 2
    ⇒ 2 = 2Hence, proved.