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A sphere- there are no faces, edges or vertices

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What is the relationship between faces vertices and edges in prisms?

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.


What is the relationship among the vertices's faces and edges of polyhedrons?

If you add the vertices and Faces and subtract 2 from that number you get the number of edges. Vertices+Faces=Edges+2


What is the number of faces edges and vertices of a pentagonal prism?

It has 7 faces, 15 edges and 10 vertices


How many edges faces and vertices does a cube have?

It has 14 Faces, 24 Edges, and 12 Vertices


How is the number of edges related to the number of sides?

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.

Related Questions

What is the relationship between faces vertices and edges in prisms?

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.


What is the relationship among the vertices's faces and edges of polyhedrons?

If you add the vertices and Faces and subtract 2 from that number you get the number of edges. Vertices+Faces=Edges+2


What is the number of faces edges and vertices of a pentagonal prism?

It has 7 faces, 15 edges and 10 vertices


How is the total number of sides of the faces related to the number of edges?

Faces + Vertices = Edges + 2


What is true about all prisms?

All prisms contain an equal number of faces,vertices,and edges


Name a three dimensional figure that has equal numbers of faces equal number of edges and equal number of vertices?

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.


Which 3d shape has the same number of edges vertices and faces?

Sphere ( 0 faces , 0 edges , 0 vertices )


What is the name of a shape that has 5 faces 8 edges 6 vertices?

There is not a polyhedron with the given number of faces, edges and vertices.


What 2 3d shapes have the same number of edges vertices and faces?

A cube and a regular octahedron have the same number of edges, vertices, and faces. Both have 12 edges, 8 vertices, and 6 faces.


What is the number of faces vertices and edges of a rectangular prism and a rectangular pyramid?

for any prism , number of ___ + number of vertices = number of edges + ___


What pyramid has 5 faces 9 edges and 6 vertices?

If the number of vertices is not the same as the number of faces, it cannot be a pyramid.


What solid figure has the same number of faces and vertices and has 8 edges?

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.