A hexagonal prism has twelve vertices, eighteen edges, and eight faces. Every prism has two faces known as its bases, and the bases of a hexagonal prism are hexagons. The hexagons has six vertices, each of which pairs with another hexagon's vertex, forming six edges. These edges form three parallelograms as other faces. A prism is said to be right if the edges are of the same length and perpendicular to the base. If faces are all regular, the hexagonal prism is a
semiregular polyhedron—more generally, a
uniform polyhedron—and the fourth in an infinite set of prisms formed by square sides and two regular polygon caps. It can be seen as a
truncated hexagonal hosohedron, represented by
Schläfli symbol t{2,6}. Alternately it can be seen as the
Cartesian product of a regular hexagon and a
line segment, and represented by the product {6}×{}. The
symmetry group of a right hexagonal prism is
prismatic symmetry D_{6 \mathrm{h}} of order 24, consisting of rotation around an axis passing through the regular hexagon bases' center, and reflection across a horizontal plane. The
dual of a hexagonal prism is a
hexagonal bipyramid, both of which have the same three-dimensional symmetry group. 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, giving the formula: V = \frac{3 \sqrt{3}}{2}a^2h, and its surface area is by summing the area of two regular hexagonal bases and the lateral faces of six squares: S = 3a(\sqrt{3}a+2h). == Honeycombs ==