A pentagonal pyramid
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Faces: 10 Vertices: 16 Edges: 24
A pentagonal pyramid (5 sides and 1 base) has 6 faces, 6 vertices, and 10 edges (5 between the sides and 5 with the base).
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.
A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges. 6 faces, 10 edges, 6 vertices
It has 16 vertices and 10 faces. It is an octagonal prism.