Q: What 3d object has an equal number of faces vertices and edges?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

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.

A square has 4 equal sides and 4 vertices of 90 degrees

A prism with an n-sided base will have 2n vertices, n + 2 faces, and 3n edges. That's a cube.

any form of cuboid if the edges were equal, a cube

A cube.

Related questions

A sphere- there are no faces, edges or vertices

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.

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.

A square has 4 equal sides and 4 vertices of 90 degrees

Euler can help you answer this question. Euler's formula says number of faces plus number of vertices minus the number of edges equal 2. In symbols we write F+V-E=2. So in this case we have 10+12-E=2 So E=20 and there are twenty edges.

A rectangular-based pyramid has 5 faces, 8 edges, and 5 vertices. To check if the numbers are right, the Euler's rule can be used. The formula is Faces + Vertices = Edges + 2. Clearly, the sum of the faces and vertices, which is 10, is equal to the sum of the edges plus 2, which is also 10.

A prism with an n-sided base will have 2n vertices, n + 2 faces, and 3n edges. That's a cube.

A rectangular-based pyramid has 5 faces, 8 edges, and 5 vertices. To check if the numbers are right, the Euler's rule can be used. The formula is Faces + Vertices = Edges + 2. Clearly, the sum of the faces and vertices, which is 10, is equal to the sum of the edges plus 2, which is also 10.

A rectangular-based pyramid has 5 faces, 8 edges, and 5 vertices. To check if the numbers are right, the Euler's rule can be used. The formula is Faces + Vertices = Edges + 2. Clearly, the sum of the faces and vertices, which is 10, is equal to the sum of the edges plus 2, which is also 10.

any form of cuboid if the edges were equal, a cube

A cube.