A polyhedron has 30 edges and 12 vertices. How many faces does it have
A sphere is not a polyhedron because it has no edges, no vertices and no flat faces The word 'polyhedron' means many faces.
eight
For a simply connected polyhedron,Faces + Vertices = Edges + 2
I do not believe that such a shape exists.
A polyhedron has 30 edges and 12 vertices. How many faces does it have
The number of edges and vertices ina polyhedron will depend on the polyhedron one selects either to study, build or etc...
A sphere is not a polyhedron because it has no edges, no vertices and no flat faces The word 'polyhedron' means many faces.
It has 6 vertices.
A diagonal of a polyhedron is a line between any two vertices except outer vertices.
Any integer that is greater than 3.
eight
6
A dodecahedron is a polyhedron with between 8 and 20 vertices.
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.
This polyhedron has 7 vertices and 12 edges.
A polyhedron must have at least 4 faces, at least 4 vertices and at least 6 edges.