A sphere- there are no faces, edges or vertices
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.
If you add the vertices and Faces and subtract 2 from that number you get the number of edges. Vertices+Faces=Edges+2
It has 7 faces, 15 edges and 10 vertices
It has 14 Faces, 24 Edges, and 12 Vertices
The mathematician Euler created a formula that relates the vertices, edges, and faces/sides. The formula states that:V - E + F = 2When V is the number of vertices, E is the number of edges, and F is the number of faces.How do the number of edges relate to the number of sidesUsing simple algebra this formula can be modified so the number of edges is related to the number of faces:V - E + F = 2V + F = 2 + EV + F - 2 = EE = V - 2 + FThe edges are equal to the vertices plus the faces subtract two.How do the number of sides relate to the number of edgesUsing simple algebra this formula can be modified so the number of faces is related to the number of edges:V - E + F = 2V + F = 2 + EF = 2 + E - VThe faces are equal to the edges subtract the vertices plus two.
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.
If you add the vertices and Faces and subtract 2 from that number you get the number of edges. Vertices+Faces=Edges+2
It has 7 faces, 15 edges and 10 vertices
Faces + Vertices = Edges + 2
All prisms contain an equal number of faces,vertices,and edges
According to the Euler characteristic, the number of faces, edges and vertices are related by: V - E + F = 2 for ANY convex polyhedron. If V = E then F = 2 faces. Also, E = F requires V = 2 vertices. No such figure exists.
Sphere ( 0 faces , 0 edges , 0 vertices )
There is not a polyhedron with the given number of faces, edges and vertices.
A cube and a regular octahedron have the same number of edges, vertices, and faces. Both have 12 edges, 8 vertices, and 6 faces.
for any prism , number of ___ + number of vertices = number of edges + ___
If the number of vertices is not the same as the number of faces, it cannot be a pyramid.
The solid figure that has the same number of faces and vertices and has 8 edges is a cube. A cube has 6 faces, 8 vertices, and 12 edges, so it fits the description given.