Hexagonal Prism Calculator

A hexagonal prism is a three-dimensional solid with two parallel, congruent regular hexagons as its bases, connected by six rectangular lateral faces. It has 8 faces, 18 edges, and 12 vertices in total.

The volume is calculated as V = (3√3 / 2) × a² × h, where 'a' is the side length of the hexagonal base and 'h' is the height of the prism. This equals the base area multiplied by the height.

The total surface area is SA = 6·a·h + 3√3·a², where the first term (6·a·h) represents the lateral surface area of the six rectangular faces, and the second term (3√3·a²) represents the combined area of the two hexagonal bases.

The apothem is the perpendicular distance from the center of the hexagonal base to the midpoint of one of its sides. For a regular hexagon with side length a, the apothem equals (√3 / 2) × a. It is used in calculating the base area.

A hexagonal prism has 8 faces (2 hexagonal bases + 6 rectangular lateral faces), 18 edges (6 on each hexagonal base + 6 lateral edges), and 12 vertices (6 on each hexagonal base).

The lateral surface area covers only the six rectangular side faces (LSA = 6·a·h), while the total surface area includes the lateral surface plus both hexagonal bases (TSA = 6·a·h + 3√3·a²).

Yes. This calculator is designed for a right prism with a regular hexagonal base, meaning all six sides of the hexagon are equal and all interior angles are 120°. Irregular hexagonal prisms require different formulas.

You can use any consistent unit (cm, m, inches, feet, etc.). The volume result will be in cubic units and the surface areas in square units of whatever unit you entered. Just make sure both inputs use the same unit.