Use Euler's Formula:
V = number of vertices
F = number of faces
E = number of edges
V+F = E+2
or
V+F-E = 2
A polyhedron has 30 edges and 12 vertices. How many faces does it have
For a simply connected polyhedron,Faces + Vertices = Edges + 2
A sphere is not a polyhedron because it has no edges, no vertices and no flat faces The word 'polyhedron' means many faces.
eight
I do not believe that such a shape exists.
The number of edges and vertices ina polyhedron will depend on the polyhedron one selects either to study, build or etc...
A polyhedron is defined by its faces, edges, and vertices, which are related through Euler's formula: ( V - E + F = 2 ), where ( V ) represents the number of vertices, ( E ) the number of edges, and ( F ) the number of faces. The specific counts of faces, edges, and vertices depend on the type of polyhedron. For example, a cube has 6 faces, 12 edges, and 8 vertices. Each polyhedron will have a unique combination of these elements, but they will always adhere to Euler's formula.
There is not a polyhedron with the given number of faces, edges and vertices.
A polyhedron has 30 edges and 12 vertices. How many faces does it have
Any polyhedron can be deformed (its angles changed) without affecting the number of edges, vertices or faces.
A polyhedron must have at least 4 faces, at least 4 vertices and at least 6 edges.
This polyhedron has 7 vertices and 12 edges.
There is not a specific formula fro vertices and edges. The Euler characteristic links the number of vertices, edges AND faces as follows: E + 2 = V + F for a simply connected polyhedron.
Euler.
Edges join two vertices. Three or more edges meet at a vertex (it could be two if not in a polyhedron).
For a simply connected polyhedron,Faces + Vertices = Edges + 2
It has 6 vertices.