0
How many vertices's does a convex polyhedron have if it has 14 faces and 24 edges?
Wiki User
∙ 9y ago
Using Euler's Polyhedron formula V+F-E=2, given
F=14 and E=24, we have V=12.
The polyhedron has 12 vertices.
This assumes a genus-0 polyhedron. An example would be the hexagonal antiprism, a polyhedron having two hexagonal faces and 12 triangular faces.
Wiki User
∙ 9y ago
Add your answer:
Earn +20 pts
If a convex polyhedron has 12 edges and 8 faces then how many vertices does it have?
It has 6 vertices.
How many faces if there is 16 vertices and 37 edges?
If the object is a convex polyhedron, then, by Euler's characteristics, it should have 23 faces.
What has 4 faces 9 edges 6 vertices?
There is no such convex polyhedron in normal geometries because it does not satisfy the Euler characteristic. That requires that Faces + Vertices = Edges + 2
What 3d shape has 4 faces 8 edges and 5 vertices?
The numbers in the question do not satisfy the Euler characteristic so there cannot be such a [convex] polyhedron.
What shape has 6 faces 10 vertices's 15 edges?
I believe you intend to talk about a polyhedron if it is a convex polyhedron, there is a relation : F + V * E = 2 (you can experiment with current polyhedrons) the relation is not satisfied by your numbers
If a convex polyhedron has 12 edges and 8 faces then how many vertices does it have?
It has 6 vertices.
How many faces if there is 16 vertices and 37 edges?
If the object is a convex polyhedron, then, by Euler's characteristics, it should have 23 faces.
What has 4 faces 9 edges 6 vertices?
There is no such convex polyhedron in normal geometries because it does not satisfy the Euler characteristic. That requires that Faces + Vertices = Edges + 2
Is it possible for convex polyhedron to have 6 faces 8 vertices and 10 edges?
No, F + V = E + 2That's Euler's polyhedron formula (or Theorem). For a normal 3-d polyhedron to exist it must conform to that equation.
A polyhedron with 12 vertices and 30 edges has how many faces?
A polyhedron has 30 edges and 12 vertices. How many faces does it have
What is a tetradecahedron?
A tetradecachedron is a polyhedron, also known as a 14-sided polyhedron or 14-faced polyhedron. It is a convex solid with 14 faces, 24 edges, and 14 vertices. The term "tetradecachedron" can refer to any 14-faced polyhedron, not necessarily a specific shape.
Why is a sphere not a polyhedron?
A sphere is not a polyhedron because it has no edges, no vertices and no flat faces The word 'polyhedron' means many faces.
What 3d shape has 4 faces 8 edges and 5 vertices?
The numbers in the question do not satisfy the Euler characteristic so there cannot be such a [convex] polyhedron.
What shape has 6 faces 10 vertices's 15 edges?
I believe you intend to talk about a polyhedron if it is a convex polyhedron, there is a relation : F + V * E = 2 (you can experiment with current polyhedrons) the relation is not satisfied by your numbers
How many faces and edges does a 3d polyhedron have?
The only thing that can be said that there must be at least 4 faces and at least 6 edges and that the polyhedron must satisfy the Euler criterion which requires that: Faces + Vertices = Edges + 2.
How many edges are in a dodecahedron?
A polyhedron with 12 faces.
Euler's rule for a polyhedron?
For a simply connected polyhedron,Faces + Vertices = Edges + 2
