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.
Well, honey, that sounds like a hexagonal prism to me. It's got those six faces, six vertices, and ten edges, making it the life of the 3D shape party. So, go ahead and strut your stuff with that hexagonal prism knowledge!
A heptagonal prism gas 21 edges.
A pentagonal pyramid
Heptagonal Prism
PENTAGONAL prism
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.
No shape does. Euler's Formula (vertices + faces = edges + 2) holds true for all shapes. For the given figures, this means: 4 + 6 = 6 + 2 → 10 = 8 but 10 ≠ 8, so the combinations of 4 vertices, 6 edges and 6 faces given does not represent a shape.