 # How many edges does a hexagonal antiprism have?

## How many edges does a hexagonal antiprism have?

The hexagonal antiprism, or hap, is a prismatic uniform polyhedron. It consists of 12 triangles and 2 hexagons. Each vertex joins one hexagon and three triangles….

Hexagonal antiprism
Faces 12 triangles, 2 hexagons
Edges 12+12
Vertices 12
Measures (edge length 1)

Is a tetrahedron an antiprism?

For n = 2, we have the regular tetrahedron as a digonal antiprism (degenerate antiprism); for n = 3, the regular octahedron as a triangular antiprism (non-degenerate antiprism). The dual polyhedra of the antiprisms are the trapezohedra.

How many faces does a hexagonal antiprism have?

Hexagonal antiprism

Uniform hexagonal antiprism
Type Prismatic uniform polyhedron
Elements F = 14, E = 24 V = 12 (χ = 2)
Faces by sides 12{3}+2{6}
Schläfli symbol s{2,12} sr{2,6}

### Is an octahedron an antiprism?

A regular octahedron is the dual polyhedron of a cube. It is a rectified tetrahedron. It is a square bipyramid in any of three orthogonal orientations. It is also a triangular antiprism in any of four orientations.

How many does a hexagonal prism have?

A hexagonal prism is a prism with hexagonal base and top. This polyhedron has 8 faces, 18 edges, and 12 vertices. Out of the 8 faces, 6 are rectangles, and 2 are hexagons, and that’s why the name hexagonal prism. These hexagons are at the base and the top.

What is the difference between Prism and Antiprism?

Prisms & Antiprisms. A regular prism consists of two regular N-sided polygons joined together by N squares. A regular antiprism consists of two regular N-sided polygons joined together by 2N equilateral triangles.

#### How much faces does a hexagonal prism have?

8 faces
A hexagonal prism is a prism with a hexagonal base and top. It is a 3D shape and thus, is a polyhedron with 8 faces, 18 edges, and 12 vertices. As it has 8 faces, it is also called an octahedron. Generally, the term octahedron is used to define a regular octahedron, which has 8 triangular faces.

How many edges are in a hexagonal prism?

18Hexagonal prism / Number of edges

What is the difference between prism and Antiprism?

## How is the volume of a octahedron derived?

Formula for the volume of a octahedron

1. Edge = Diagonal√2. Explanation of the main formula:
2. Volume pyramid = Height × Edge ²3. So, the double of the volume of a square pyramid is the same as the volume of an octahedron.
3. (1) Volume octahedron = 2 × Height × Edge ²3.
4. Volume octahedron = 2 × √½ × edge ³3.

What is the formula of hexagonal prism?

The formula for the volume of a hexagonal prism is, volume = [(3√3)/2]a2h cubic units where a is the base length and h is the height of the prism. We can also use the other formula V = 3abh, where a = apothem length, b = length of a side of the base, and h = height of the prism.

What is the edges of hexagon?

Hexagon

Regular hexagon
Edges and vertices 6
Schläfli symbol {6}, t{3}
Coxeter–Dynkin diagrams
Symmetry group Dihedral (D6), order 2×6

### How many lateral faces are in a triangular Antiprism?

Triangular antiprism
Vertex figure Rectangle
Faces 2 equilateral triangles, 6 isosceles triangles
Edges 6+6
Vertices 6

What is the volume of a hexagonal prism?

The volume of a hexagonal prism is the space occupied by it. A prism is a three-dimensional shape having identical bases, flat rectangular side faces, and the same cross-section all along its length. Prisms are classified into different types and named as per the shape of their base.

What is antiprism in geometry?

Antiprism. In geometry, an n -sided antiprism is a polyhedron composed of two parallel copies of some particular n -sided polygon, connected by an alternating band of triangles. Antiprisms are a subclass of the prismatoids and are a (degenerate) type of snub polyhedra. Antiprisms are similar to prisms except…

#### What is a hexagonal volume calculator?

A hexagonal prism is a prism with a hexagonal base. The hexagonal volume calculator calculates volume of a regular hexagonal prism with two hexagonal bases and six rectangular faces, based on the prism side length l and its height h.

What is n-gonal antiprism?

In geometry, an n-gonal antiprism or n-antiprism is a polyhedron composed of two parallel direct copies (not mirror images) of an n -sided polygon, connected by an alternating band of 2 n triangles . Antiprisms are a subclass of prismatoids, and are a (degenerate) type of snub polyhedron.