A pentagonal based pyramid would seem to fit the given description.
It is a pentagonal based pyramid that has 6 vertices, 6 faces and 10 edges
Heptagonal Prism
PENTAGONAL prism
A heptagonal prism gas 21 edges.
A pentagonal pyramid has 6 faces, 6 vertices and 10 edges.
It is a pentagonal based pyramid that has 6 vertices, 6 faces and 10 edges
It is a pentagonal based pyramid that has 6 vertices, 6 faces and 10 edges
A pentagonal prism has 7 faces, 15 edges and 10 vertices
It has 10 vertices, 10 edges, and 0 faces.
Faces: 10 Vertices: 16 Edges: 24
A pentagonal pyramid has 6 faces, 6 vertices and 10 edges.
A pentagonal pyramid
Heptagonal Prism
PENTAGONAL prism
A heptagonal prism gas 21 edges.
A pentagonal pyramid has 6 faces, 6 vertices and 10 edges.
A pentagonal prism has 7 faces, 10 vertices and 15 edges.