Hexagonal Prism Calculator
Compute the volume, base area, lateral area and total surface area of a regular hexagonal prism from its base edge and height.
units
units
Base area times height
415.69 units³
Volume- 1
Hexagon base area = (3√3 ÷ 2) × a²
(3 × √3 ÷ 2) × 4² = 41.5692A regular hexagon splits into 6 equilateral triangles each with area (√3/4)·a². - 2
Volume = base area × h
41.5692 × 10 = 415.69
How does this calculator work?
For a regular hexagonal prism with base edge a and height h, the volume is (3√3/2)·a²·h. The lateral surface is 6·a·h and the total surface area is 2·(3√3/2)·a² + 6·a·h. Enter both dimensions in the same unit; areas come out squared and volume cubed.
Formula
How this is calculated
A regular hexagonal prism has two parallel regular-hexagon bases joined by six rectangular side faces. You provide the base edge length a (the side of the hexagon) and the prism height h (the perpendicular distance between the bases). Both must be positive numbers in the same length unit.
The area of a regular hexagon with side a is (3√3/2)·a², and its perimeter is 6a. The volume is the base area multiplied by the height, V = (3√3/2)·a²·h. The lateral (side) surface is the perimeter times the height, 6·a·h, which equals the combined area of the six rectangular faces. The total surface area adds the two hexagonal bases to the lateral area: 2·(3√3/2)·a² + 6·a·h.
Results inherit the units of your inputs: areas come out in squared units and volume in cubed units. The calculator requires a > 0 and h > 0; zero or negative dimensions are rejected because they do not describe a real solid. The bar chart compares the two base faces combined against the lateral surface so you can see which dominates the total surface area.
Frequently asked questions
Its two bases are regular hexagons (all six sides and angles equal), and the side faces are rectangles perpendicular to the bases. This calculator assumes that regular, right-prism shape.
A regular hexagon splits into six equilateral triangles of side a. Each has area (√3/4)·a², so six of them total (6·√3/4)·a² = (3√3/2)·a².
They follow your inputs. If a and h are in centimetres, areas are in cm² and volume is in cm³. Keep both inputs in the same unit.
Also known as
TG we-Calculate Editorial Team. (2026). Hexagonal Prism Calculator [Online calculator]. TG we-Calculate. https://we-calculate.com/calculator/hexagonal-prism-calculator
TG we-Calculate Editorial Team. "Hexagonal Prism Calculator." TG we-Calculate. 2026. https://we-calculate.com/calculator/hexagonal-prism-calculator.
TG we-Calculate Editorial Team, "Hexagonal Prism Calculator," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/calculator/hexagonal-prism-calculator
@misc{wecalculate_hexagonal_prism_calculator, title = {Hexagonal Prism Calculator}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/calculator/hexagonal-prism-calculator}}, year = {2026}, note = {TG we-Calculate} }
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