Can polyhedron has 12 faces?
Can polyhedron has 12 faces?
Answer: No polyhedron has 12 faces, 22 edges, and 17 vertices.
How many faces a polyhedron have if the number of its edges is 12 and the number of vertices is 6?
Polyhedra
| Name | # of Faces | # of Edges |
|---|---|---|
| Regular Tetrahedron | 4 | 6 |
| Cube | 6 | 12 |
| Regular Octahedron | 8 | 12 |
| Regular Dodecahedron | 12 | 30 |
How many edges does polyhedron have?
Summary: A polyhedron having 5 faces and 5 vertices has 8 edges.
How many faces does a polyhedron with 8 vertices and 12 edges?
6 faces
A cube or a cuboid is a three dimensional shape that has 12 edges, 8 corners or vertices, and 6 faces.
What polyhedron has 24 edges?
Octagonal prism
Convex uniform polyhedra
| Name | Vertex type | Edges |
|---|---|---|
| Cube | 4.4.4 | 12 |
| Pentagonal prism | 4.4.5 | 15 |
| Hexagonal prism | 4.4.6 | 18 |
| Octagonal prism | 4.4.8 | 24 |
Can a polyhedron have 12 faces 18 edges and 10 vertices?
Answer Expert Verified No.It can’t have 10 faces , 20 edges, and 15 vertices as The formula i.e. Euler’s formula isn’t being satisfied.
Can polyhedron have 20 faces 30 edges and 12 vertices?
Step-by-step explanation: Answer: According to the formula given by Euler. Therefore, there are 30 edges of a polyhedron having 20 faces and 12 vertices.
How many edges does a polyhedron with 12 faces and 20 vertices have?
30
If a solid shape has 12 faces and 20 vertices, then the number of edges in this solid is 30.
What is a shape with 12 edges?
Regular dodecagon
In geometry, a dodecagon or 12-gon is any twelve-sided polygon….Dodecagon.
| Regular dodecagon | |
|---|---|
| A regular dodecagon | |
| Type | Regular polygon |
| Edges and vertices | 12 |
| Schläfli symbol | {12}, t{6}, tt{3} |
What is a polyhedron shape?
A three-dimensional shape whose faces are polygons is known as a polyhedron. This term comes from the Greek words poly, which means “many,” and hedron, which means “face.” So, quite literally, a polyhedron is a three-dimensional object with many faces.
What is after a dodecahedron?
The 5 Platonic solids are called a tetrahedron, hexahedron, octahedron, dodecahedron and icosahedron with 4, 6, 8, 12, and 20 sides respectively.
How many sides does a dodecahedron have?
twelve faces
From left to right the solids are tetrahedron (four sides), cube (six sides), octahedron (eight faces), dodecahedron (twelve faces), and icosahedron (twenty faces).
What are the types of polyhedron?
Polyhedrons are 3-dimensional solids with flat faces. A platonic solid is a polyhedron whose faces are all the same. There are only five platonic solids: tetrahedron, cube, octahedron, dodecahedron, and icosahedron.
What shapes are polyhedrons?
Traditional polyhedra Edit. In geometry, a polyhedron is traditionally a three-dimensional shape that is made up of a finite number of polygonal faces which are parts of planes; the faces meet in pairs along edges which are straight-line segments, and the edges meet in points called vertices.
What is the formula for a polyhedron?
The number of edges of any polyhedron can be calculated using the formula: E = V + F – 2, where “E'” denotes the number of edges, “V” indicates the number of vertices and “F” represents the number of faces.
What shape is a polyhedron?
A polyhedron (one polyhedron, many polyhedra , or polyhedrons ) is a geometrical shape. It is a 3D shape with flat faces, and straight edges. Usually it is defined by the number of faces, or edges.
