The answer will depend on the shape under consideration.
There is no limit to the number of vertices nor edges.
Sphere ( 0 faces , 0 edges , 0 vertices )
Faces + Vertices = Edges + 2
the formula is (vertices+faces)- 2= 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.
A pentagonal prism has 10 vertices, 15 edges, and 7 faces. The two pentagonal bases contribute 5 vertices each, while the 5 lateral edges connect the corresponding vertices of the bases. The prism's faces consist of 2 pentagonal bases and 5 rectangular lateral faces.
Oh, isn't that a happy little question! Let's think about it together. A prism has 2 bases and the same number of edges as the number of sides on those bases, plus the number of edges connecting the corresponding vertices on the bases. So, a prism can't have seven more edges than vertices because the number of edges is determined by the number of sides on the bases and the number of vertices.
There is none. The number of sides on the bases can always be increased reuslting in an increase in the number of lateral faces. The number of vertices and edges will also increase so there can be no greatest number.
A triangular prism is one possible answer.
In a prism, the number of faces, vertices, and edges are related by the formula F + V - E = 2, known as Euler's formula. For a prism, which has two parallel and congruent faces connected by rectangular faces, the number of faces (F) is equal to the sum of the number of rectangular faces and the two congruent bases. The number of vertices (V) is equal to the number of corners where edges meet, and the number of edges (E) is equal to the sum of the edges around the bases and the edges connecting the corresponding vertices of the bases.
Pentagonal Prism = 2 pentagonal bases + 5 lateral faces Pentagonal Prism = 7 faces Pentagonal Prism has 10 vertices Pentagonal Prism has 15 edges
a prism is a polyhedron with two congruent faces, called bases, that lie in parallel planes. The other faces, called lateral faces, are parellelograms formed by connecting the corresponding vertices of the bases. the segments connecting the vertices are lateral edges. the altitude, or height, of a prism is the perpendicular distance between its bases.
It has 9 edges, 6 vertices and 5 faces
A triangular prism has two three-sided bases and three rectangular lateral faces. A triangular prism has five faces, six vertices and nine edges.
A hexagonal prism has 8 faces: 2 hexagonal bases and 6 rectangular lateral faces. It also has 18 edges, with 6 edges for each hexagonal base and 6 connecting the corresponding vertices of the two bases.
A prism with an n-sided base will have 2n vertices, n + 2 faces, and 3n edges. 18 base edges and 9 lateral edges
It has 8 faces, 18 edges and 12 vertices