What is the number of edges if there are 12 vertices and 20 faces?
Answer: There are 30 edges of a polyhedron having 20 faces and 12 vertices.
What is a shape with 20 faces 12 vertices and 30 edges?
In geometry, a regular icosahedron (/ˌaɪkɒsəˈhiːdrən, -kə-, -koʊ-/ or /aɪˌkɒsəˈhiːdrən/) is a convex polyhedron with 20 faces, 30 edges and 12 vertices. It is one of the five Platonic solids, and the one with the most faces.
Can you create a polyhedron with 17 vertices and 10 faces?
Using Euler’s formula in a similar way we can discover that there is no simple polyhedron with ten faces and seventeen vertices. The pyramid, which has a 9-sided base, also has ten faces, but has ten vertices. But Euler’s formula tells us that no simple polyhedron has exactly ten faces and seventeen vertices.
Can the number of vertices the number of faces and the number of edges of a polyhedron all be odd numbers?
That is impossible, so you can’t do the icosahedron. This argument will extend to any Platonic solid with an even number of edges and faces that have an odd number of sides. The cube is the only Platonic solid with faces that have an even number of edges.
How many faces a cube has?
6
Cube/Number of faces
Can a polyhedron have 15 faces 30 edges and 20 vertices?
hence a polyhedron cannot have 15 faces 20 vertices and 30 edges.
What is a 25 sided shape called?
line
| number of sides | name of polygon |
|---|---|
| 25 | icosikaipentagon or pentacosagon |
| 26 | icosikaihexagon or hexacosagon |
| 27 | icosikaiheptagon or heptacosagon |
| 28 | icosikaioctagon or octacosagon |
How many faces does a polyhedron with 20 vertices and 30 edges?
12 faces
There are 20 vertices (V = 20), 30 edges (E = 30) and 12 faces (F = 12).
How many faces does a cube have?
How many faces edges and vertices are there in a cube?
In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices.
How many vertices and edges does a cube have?
In any case, the number of vertices, edges, and faces of a cuboid is the same as the numbers for a cube: 8 vertices, 12 edges, 6 faces. What is a cube, and how many faces, vertexes, and edges does it have?
How many edges and faces does a cuboid have?
Faces, Edges and Vertices – Cuboid. A cuboid has six rectangular faces. A cuboid has 8 vertices. A cuboid has 12 edges.
How many edges does a cube have in MongoDB?
Change your shard key on MongoDB 5.0 for your collection on-demand with no downtime or complexity. In a cube, there are 6 faces, 8 vertices, and 12 edges. For future reference, if you want to know how many edges, vertices, or faces there are on a three dimensional shape, you can use this formula.
What are faces edges and vertices in 3D geometry?
3D Shape – Faces, Edges and Vertices. Face is a flat surface that forms part of the boundary of a solid object. A vertex is a corner. An edge is a line segment joining two vertex.