Nine faces.
That's because the "hedron" part is for a polyhedron (3D shape).
Then non is nine (think nonagon).
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Since it has 9 faces it is a nonahedron. Not sure how many of the thousands of nonahedrons have 6 vertices.
Nonahedron
A nonahedron. There are many possible configurations: the simplest two to visualise are an octagonal based pyramid and a heptagonal prism.
A nonahedron is a nine-faced polyhedron, also known as an enneahedron. The number of vertices in a nonahedron can be calculated using Euler's formula, which states that for any polyhedron, the number of vertices (V), edges (E), and faces (F) are related by the equation V - E + F = 2. A nonahedron has 9 faces, so substituting F = 9 into the formula gives V - E + 9 = 2. Since the nonahedron has 9 faces and each face is a polygon with 3 sides, the total number of edges is 9 * 3 / 2 = 13. Therefore, the number of vertices in a nonahedron can be calculated as V - 13 + 9 = 2, which simplifies to V = 6.
nonahedron