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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 a polyhedron a solid bounded by The polygonal regions of intersecting planes?
Yes, a polyhedron is a solid bounded by polygonal regions, which are the faces of the polyhedron. These faces are formed by the intersection of planes, and the edges of the polyhedron are the line segments where these faces meet. The vertices are the points where the edges converge. Thus, a polyhedron is defined by its flat faces, straight edges, and vertices.
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.
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
20 sided polyhedron?
A 20-sided polyhedron is called an icosahedron. It has 20 equilateral triangle faces, 30 edges, and 12 vertices. It is a regular convex polyhedron with rotational symmetry.
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
Is a polyhedron a solid bounded by The polygonal regions of intersecting planes?
Yes, a polyhedron is a solid bounded by polygonal regions, which are the faces of the polyhedron. These faces are formed by the intersection of planes, and the edges of the polyhedron are the line segments where these faces meet. The vertices are the points where the edges converge. Thus, a polyhedron is defined by its flat faces, straight edges, and vertices.
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.
