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 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

A transparent model

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