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.
The 3D shape that has 6 vertices, 6 faces, and 10 edges is a hexagonal prism. A hexagonal prism is a polyhedron with two hexagonal faces and six rectangular faces connecting them. It has 6 vertices where the edges meet, 6 faces (2 hexagonal and 4 rectangular), and 10 edges that form the boundaries between the faces.
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.