# Hexagonal prism

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Hexagonal prism

In geometry, the hexagonal prism is a prism with hexagonal base.

It is an octahedron. However, the term "octahedron" is mainly used with "regular" in front or implied, hence not meaning a hexagonal prism; in the general meaning the term "octahedron" it is not much used because there are different types which have not much in common except having the same number of faces.

If faces are all regular, the hexagonal prism is a semiregular polyhedron. This is the fourth in an infinite set of prisms formed by square sides and two regular polygon caps. The shape has eight faces, 18 edges, and 12 vertices. It can also be formed by truncating a hexagonal hosohedron.

As in most prisms, the volume is found by taking the area of the base, with a side length of $a$, and multiplying it by the height $h$.

$V = frac\left\{3 sqrt\left\{3\left\{2\right\}a^2 imes h$

Other images

A transparent model

* Set of prisms
* Triangular prism
* Cube Square-capped prism
* Pentagonal prism
* Hexagonal prismatic honeycomb
* Triangular-hexagonal prismatic honeycomb
* Snub triangular-hexagonal prismatic honeycomb
* Rhombitriangular-hexagonal prismatic honeycomb

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* [http://www.korthalsaltes.com/hexagonal_prism.htm Paper model (net) hexagonal prism]
* [http://www.lifeisastoryproblem.org/explore/net_hexagonal_prism.pdf Printable Geometric Net of a Hexagonal Prism] [http://www.lifeisastoryproblem.org Life is a Story Problem.org]

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### Look at other dictionaries:

• hexagonal prism — noun any prism, an octahedron, constructed on a hexagonal base …   Wiktionary

• Metabiaugmented hexagonal prism — Type Johnson J55 J56 J57 Faces …   Wikipedia

• Augmented hexagonal prism — Infobox Polyhedron with net Polyhedron Type=Johnson J53 J54 J55 Face List=2x2 triangles 1+2x2 squares 2 hexagons Edge Count=22 Vertex Count=13 Symmetry Group= C 2v Vertex List=2x4(42.6) 1(34) 4(32.4.6) Dual= Property List=convex Net In geometry,… …   Wikipedia

• Parabiaugmented hexagonal prism — Infobox Polyhedron with net Polyhedron Type=Johnson J54 J55 J56 Face List=2x4 triangles 4 squares 2 hexagons Edge Count=26 Vertex Count=14 Symmetry Group= D 2h Vertex List=4(42.6) 2(34) 8(32.4.6) Dual= Property List=convex| Net In geometry, the… …   Wikipedia

• Triaugmented hexagonal prism — Infobox Polyhedron with net Polyhedron Type=Johnson J56 J57 J58 Face List=12 triangles 3 squares 2 hexagons Edge Count=30 Vertex Count=15 Symmetry Group= D 3h Vertex List=3(34) 12(32.4.6) Dual= Property List=convex Net In geometry, the… …   Wikipedia

• Hexagonal bipyramid — Type bipyramid Faces 12 triangles Edges 18 Vertices 8 Face configu …   Wikipedia

• Prism (geometry) — For other uses, see Prism (disambiguation). Set of uniform prisms (A hexagonal prism is shown) Type uniform polyhedron Faces 2+n total: 2 {n} n {4} Edges …   Wikipedia

• hexagonal system — noun : a crystal system characterized by three equal lateral axes intersecting at angles of 60 degrees and a vertical axis of variable length at right angles (as in the hexagonal prism) see crystal system illustration * * * hexagonal system,… …   Useful english dictionary

• hexagonal — hexagonally, adv. /hek sag euh nl/, adj. 1. of, pertaining to, or having the form of a hexagon. 2. having a hexagon as a base or cross section: a hexagonal prism. 3. divided into hexagons, as a surface. 4. Crystall. noting or pertaining to a… …   Universalium

• hexagonal — hex•ag•o•nal [[t]hɛkˈsæg ə nl[/t]] adj. 1) math. of, pertaining to, or having the form of a hexagon 2) math. having a hexagon as a base or cross section: a hexagonal prism[/ex] 3) math. divided into hexagons, as a surface 4) cry noting or… …   From formal English to slang