# A cube has 8 vertices, 12 edges, and 6 faces. Is there a convex polyhedron that has 9 vertices, 13 edges, and 6 faces?

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A cube has 8 vertices, 12 edges, and 6 faces. Is there a convex polyhedron that has 9 vertices, 13 edges, and 6 faces?
posted Sep 30, 2019
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## 1 Answer

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Euler's formula: V - E + F = 2
Cube: 8-12+6=2
Polyhedron: 9-13+6=2, so it is possible to have one

answer Nov 6, 2019

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