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What 3d object has an equal number of faces vertices and edges?
Wiki User
∙ 13y ago
As far as I can make out, none.
According to the Euler characteristic F + V = E + 2 for a 3-D polyhedron where
F = number of Faces
V = number of Vertices
E = number of Edges
If F=V=E then the Euler characteristic implies that F=V=E=2
But you cannot have a solid object with 2 faces.
Wiki User
∙ 13y ago
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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.
How many edges and vertices a square has?
A square has 4 equal sides and 4 vertices of 90 degrees
What has 6 equal faces 12 edges and 8 vertices are what?
A prism with an n-sided base will have 2n vertices, n + 2 faces, and 3n edges. That's a cube.
What shape has 12 edges 6 square faces and 8 vertices?
any form of cuboid if the edges were equal, a cube
What shape has equal sides 8 vertices 6 faces and 12 edges?
A cube.
What is a shape that has equal number of faces equal number edges and equal number of vertices?
A sphere- there are no faces, edges or vertices
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.
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.
How many edges and vertices a square has?
A square has 4 equal sides and 4 vertices of 90 degrees
How many edges does a gemstone with 10 faces and 12 vertices have?
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.
How many faces and edges and vertices's does a rectangular pyramid have?
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.
What has 6 equal faces 12 edges and 8 vertices are what?
A prism with an n-sided base will have 2n vertices, n + 2 faces, and 3n edges. That's a cube.
How many faces vertices and edges does a rectangular based pyramid have?
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.
How many faces edges vertices does a rectangular based pyramid have?
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.
What shape has 12 edges 6 square faces and 8 vertices?
any form of cuboid if the edges were equal, a cube
What shape has equal sides 8 vertices 6 faces and 12 edges?
A cube.
