Question

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

Answer 1

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.