Nonahedron
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Faces: 10 Vertices: 16 Edges: 24
It has 16 vertices and 10 faces. It is an octagonal prism.
An octagonal prism has 10 faces, 24 edges and 24 edges(!) Oh, and in case you are interested, 16 vertices.
A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges. 16 edges, 9 vertices
Oh, dude, it's like a math riddle! So, if a polyhedron has 10 more edges than vertices, we can use Euler's formula: Faces + Vertices - Edges = 2. Since we know the relationship between edges and vertices, we can substitute that in and solve for faces. So, it would have 22 faces. Math can be fun... sometimes.