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 10 faces 16 vertices and 24 edges?
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.
Which shape has 16 vertices 24 edges and 10 faces?
octagonal prism
Answer: An octagonal prism has 10 faces, 24 edges, and 16 vertices.
How many edges does a polyhedron have with 10 faces?
There are 10 faces and 16 vertices. Use Euler’s Theorem, to solve for \begin{align*}E\end{align*}. Therefore, there are 24 edges.
What is a polyhedron with 10 faces called?
Decahedron. A polyhedron with 10 faces.
What is a 10 sided polyhedron called?
In geometry, a pentagonal trapezohedron or deltohedron is the third in an infinite series of face-transitive polyhedra which are dual polyhedra to the antiprisms. It has ten faces (i.e., it is a decahedron) which are congruent kites.
Can polyhedron have 10 faces?
Since the Euler’s formula does not hold true for the given number of faces, edges and vertices, therefore, there does not exist any polyhedron with 10 faces, 20 edges and 15 vertices.
How many face are there in a prism which has 24 edges?
If the prism has 24 edges, it has 2 octagonal faces and 8 rectangular faces. That is, it has 10 total number of faces.
What is the number of vertices in a pyramid with 10 faces?
The pyramid, which has a 9-sided base, also has ten faces, but has ten vertices.
How many faces vertices and edges does the polyhedron have?
You can plug in 12 for F and 20 for V and then solve Euler’s formula for E. Let’s look. So, the number of edges is 30. This polyhedron has 12 faces, 20 vertices, and 30 edges.
What is a D10 called?
Pentagonal trapezohedron
It has ten faces (i.e., it is a decahedron) which are congruent kites. It can be decomposed into two pentagonal pyramids and a pentagonal antiprism in the middle….
| Pentagonal trapezohedron | |
|---|---|
| Rotation group | D5, [2,5]+, (225), order 10 |
| Dual polyhedron | pentagonal antiprism |
| Properties | convex, face-transitive |
How many vertices does a polyhedron have?
This polyhedron has 12 faces, 20 vertices, and 30 edges. So, what have we learned? A polyhedron is a three-dimensional solid with straight edges and flat sides. The faces of the polyhedron are its flat sides. The edges of a polyhedron are the edges where the faces meet each other. The vertices are the corners of the polyhedron.
How do you find the number of edges of a polyhedron?
If the number of faces and the vertex of a polyhedron are given, we can find the edges using the polyhedron formula. This formula is also known as ‘Euler’s formula’. F + V = E + 2
How many faces vertices and edges does a cube have?
Where F, V, and E are the number of faces, vertices, and edges of the polyhedra respectively. A cube has 6 faces, 12 edges and 8 vertices. Therefore, according to Euler’s formula,
Yes, a polyhedron with 10 faces is called a Decahedron. Example for the polyhedron with ten faces is an Octagonal prism. What are the two types of a polyhedron? The two types of polyhedrons are regular and irregular. Platonic solids come under the regular polygons. Irregular polyhedrons include prisms and pyramids.