A cube.
* * * * *
Two wrong out of three! A cube has 8 vertices and 12 edges.
The correct answer is a pentagonal pyramid.
A pentagonal pyramid.
No. The given numbers do not satisfy the Euler characteristic for a simply connected polyhedron.
Not any normal polyhedron since the numbers are contary to the Euler characteristic.
There can be no such polyhedron since the given numbers are not consistent with the Euler characteristic.
A pentagonal pyramid has 6 faces, 6 vertices and 10 edges.
Such a polyhedron cannot exist. According to the Euler characteristics, V + F - E = 2, where V = vertices, F = faces, E = edges. This would require that the polyhedron had only two faces.
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 pentagonal pyramid.
No. The given numbers do not satisfy the Euler characteristic for a simply connected polyhedron.
No. The numbers are not consistent with the requirements of the Euler characteristic.
Faces: 10 Vertices: 16 Edges: 24
A pentagonal pyramid has 6 faces, 6 vertices and 10 edges.
There can be no such polyhedron since the given numbers are not consistent with the Euler characteristic.
Not any normal polyhedron since the numbers are contary to the Euler characteristic.
A pentagonal pyramid has 6 faces, 6 vertices and 10 edges.
A pentagonal prism has 7 faces, 10 vertices and 15 edges.
A pentagonal based pyramid has 6 faces, ten edges and 6 vertices.