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 8 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{3 \sqrt{3}}{2}a^2 \times h $

## Other images

## See also

- 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

## External links

- Weisstein, Eric W., "Hexagonal prism" from MathWorld.
- Hexagonal Prism Interactive Model—works in your web browser

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