Sum

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

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#### 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.

Concept: Concept of Polyhedron

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