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ICSE-VIII-Mathematics

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

with Solutions - page 2
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  • #5
    Can a polyhedron have 8 faces, 26 edges and 16 vertices?
    Ans : Number of faces = 8
    Number of vertices = 16
    Number of edges = 26
    Using Euler’s formula
    F + V - E
    ⇒ 8 + 16 - 26 ≠ -2
    ⇒ -2 ≠ 2
    No, a polyhedron cannot have 8 faces, 26 edges and 16 vertices.