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Question
Can a polyhedron have 8 faces, 26 edges, and 16 vertices?
Solution
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.
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