It is a pentagonal based pyramid that has 6 vertices, 6 faces and 10 edges
A shape that has fewer than 8 faces and fewer than 10 edges is a triangular prism. A triangular prism has 5 faces (2 triangular faces and 3 rectangular faces) and 9 edges. It meets the criteria of having fewer than 8 faces and fewer than 10 edges.
A heptagonal prism gas 21 edges.
Heptagonal Prism
PENTAGONAL prism
There is no simply connected 3-dimensional shape that meets these requirements.
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
A shape that has fewer than 8 faces and fewer than 10 edges is a triangular prism. A triangular prism has 5 faces (2 triangular faces and 3 rectangular faces) and 9 edges. It meets the criteria of having fewer than 8 faces and fewer than 10 edges.
A heptagonal prism gas 21 edges.
PENTAGONAL prism
Heptagonal Prism
A pentagonal pyramid
There is no simply connected 3-dimensional shape that meets these requirements.
If it's a pyramid, it has 10 edges.
The shape you are describing is a truncated octahedron. A truncated octahedron is a polyhedron with 16 vertices, 24 edges, and 10 faces. It is created by truncating an octahedron by cutting off its corners, resulting in a shape with hexagonal and square faces.
pentagonal prism
A pentagonal pyramid.