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Is there a relationship between the number of faces edges and vertices of polyhedra?
Wiki User
∙ 15y ago
For convex polyhedra it is called the Euler characteristic.
This requires that V - E + F = 2
where V = number of vertices,
E = number of edges and
F = number of faces.
Wiki User
∙ 8y ago
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How can you calculate the number of edges of a polyhedron without counting them?
This is probably about Euler's formula V - E + F = 2, where V is the number of vertices, E he number of edges and F the number of faces. Example: a cube has 6 faces (F = 6) and 8 vertices (V = 8). So the formula tells us that 8 - E + 6 = 2, and so E = 12. Yes, a cube has 12 edges. Euler's formula only works for standard polyhedra, not unusual things like star polyhedra.
what solid has more vertices?
There is no limit to the number of vertices that a solid can have.There is no limit to the number of vertices that a solid can have.There is no limit to the number of vertices that a solid can have.There is no limit to the number of vertices that a solid can have.
Describe the algebraic relationship that exists between the sum of the faces and vertices and the number of edges?
you take face, than add the vertice, and subtract 2 from it this works for almost al polyhedrons but it doesn't work for a cylinder
Do polygons have to have the same number of sides and vertices?
Yes, polygons have the same number of sides and vertices.
What shape has 6 vertice 6 faces and 12 edges?
A trapazoid. * * * * * Apart from the fact that the word is trapezoid, the answer is WRONG. According to the Euler characteristic for polyhedra, V + F = E + 2 V = number of vertices F = number of faces E = number of edges In this case, 6 + 6 is not 12 + 2 And so the Euler characteristic clearly does not apply.
What is the relationship between the number of sides and number of vertices in a shape?
relationship between the number of sides of afigure and the number of vertices
What is the relationship between faces vertices and edges on a 3D shape?
Their relationship is modelled by the equation F + V = E + 2, where F is the number of faces, V is the number of vertices, and E is the number of edges.
Give you a definition of the relationship between the number of faces and the number of vertices of a pyramid?
They are always the same.
What relationship do you see between the combined number of faces and vertices and the number of edges?
some numbers are the same
If faces plus edges equals vertices plus what number follows?
There is no answer to the question as it appears. Faces + Vertices = Edges + 2 (The Euler characteristic of simply connected polyhedra).
What 3-D shape has 5 vertices?
-2
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
Is there any relationship between a solid and a prism?
there is a relationship between a solid and a prism because it has the same number of vertices and edges so jus listen 2 meh and put yes
A cube has 6faces 12edges and 8vertices what is the relationship between the number of faces vertices and edges?
F + V = E + 2
How many vertices does a heptahedron have?
There is no simple answer to this question. Polyhedra are named according to the number of faces that they have. A heptahedron is a 3-dimensional shape with 7 faces. It could be in the form of a pyramid with a hexagonal base. In that case, it has 7 vertices. Or it could be in the form of a prism with pentagonal bases and in that case it has 10 vertices. There are many different configurations, and the number of vertices varies. As stated in the answer by Ngc0202, there can be anything from 6 to 10 vertices.
How many vertices is in a tetracontakaioctagon or a 48 sided prism?
The question is rather confused since a tetracontakaioctagon is a 2-dimensional shape whereas a prism is 3-dimensional. Moreover, [3-dimensional] polyhedra are generally named according to the number of faces that they have and, apart from the tetrahedron, the number of vertices is indeterminate. A pentahedron (5- faces) can have 4 or 5 vertices.
What two shapes have the same number of faces and edges and vertices?
There are infinitely many sets. For example, a cube, cuboid, parallelepiped, rhombohedron and their less regular counterparts all have 6 quadrilateral faces, 12 edges and 8 vertices. There are similar sets for polyhedra with a different number of faces.
