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What else can I help you with?
Why aren't cylinders cones and spheres polyhedrons geometry?
polyhedrons need flat face and edges, corners which cylinder cones don't have.
What shape is a shape with 18 edges?
Two polyhedrons have 18 edges: truncated tetrahedron and hexagonal prism.
What are some polyhedrons with 10 edges?
I can just think of the pentagonal pyramid.
Do all polyhedrons have more edges than vertexes?
Yes. to add to that a vertex must be connected to at least 3 edges to be 3d, an edge is always connected to 2 vertexes, so the closest the two can ever be is vetexes x 3 = edges x 2, but when working with any platonic solid you can follow this: vertexes x (faces / vertexes) x [edges on one side] = edges x 2 or vertexes x [faces meeting at one vertex] = edges x 2 when working with any other polyhedron [vertexes with x amount of faces] x (x) + [vertexes with y amount of faces] x (y) ...{and so on} = edges x 2
What is the relationship between edges faces and vertices's?
For a simply connected polyhedra, the Euler characteristic requires that E + 2 = F + V
How many verticess and edges douse a cuboid?
A cuboid douses have 8 verticess and 12 edges.
Why aren't cylinder cones and spheres polyhedrons?
polyhedrons need flat face and edges, corners which cylinder cones don't have.
Why aren't cylinders cones and spheres polyhedrons geometry?
polyhedrons need flat face and edges, corners which cylinder cones don't have.
How many edges does a rectangle have?
4 edges A rectangle has four edges. A rectangle has 4 sides but no edges which are normally applicable to polyhedrons.
What shape is a shape with 18 edges?
Two polyhedrons have 18 edges: truncated tetrahedron and hexagonal prism.
What are some polyhedrons with 10 edges?
I can just think of the pentagonal pyramid.
Why are cylinders and cones not considered to be polyhedrons?
Cylinders and cones are not considered polyhedrons because they do not have flat faces, which is a defining characteristic of polyhedrons. Polyhedrons are three-dimensional shapes made up of flat surfaces, while cylinders and cones have curved surfaces. Additionally, polyhedrons have straight edges where faces meet, whereas cylinders and cones have curved edges. Therefore, cylinders and cones are classified as curved surfaces rather than polyhedrons.
What are the properties of polyhedrons?
Polyhedrons are three-dimensional geometric shapes with flat polygonal faces, straight edges, and vertices. They are characterized by their number of faces, vertices, and edges, which are related by Euler's formula: ( V - E + F = 2 ), where ( V ) is vertices, ( E ) is edges, and ( F ) is faces. Polyhedrons can be classified into regular (Platonic solids, where all faces are identical) and irregular types. Their faces can vary in shape, but they are always formed by connecting edges at vertices.
Do all polyhedrons have three edges at the vertex?
No. There must be at least three but theyre can be more.
Do all polyhedrons have 2 edges that meet at each vertex?
No. For example, a cube is a polyhedron and 3 edges meet at each vertex.
What is the relationship among faces and vertices and edges?
Add the number of faces of the shape to the number of vertices, and then subtract 2 to give you the number of edges. This works for most polyhedrons. I hope I have helped :) ALSO, take the number of vertices, divide that by two, then add that answer to the number of vertices... that will give you the number of edges unless it is a pyramid. Here is one that is GURANTEED TO WORK BECAUSE I HAVE TRIED IT. Here is is: Edge= 2 times(Vertice-1)
Why are three dimensional figures with a curved surface not polyhedrons?
Three-dimensional figures with a curved surface are not considered polyhedrons because polyhedrons are defined as solids with flat polygonal faces, straight edges, and vertices. Curved surfaces lack these flat faces and straight edges, which are essential characteristics of polyhedrons. Examples of shapes with curved surfaces include spheres and cylinders, which do not fit the definition of a polyhedron. Thus, the presence of curved surfaces distinguishes these figures from polyhedra.
