Calculators
Hexagonal Pyramid Calculator
Calculate right regular hexagonal pyramid volume, base and surface areas, slant height, and lateral edge length privately in your browser.
Measure a right pyramid with a regular hexagonal base.
A right regular hexagonal pyramid has one regular hexagonal base and six triangular faces, with its apex directly above the base center. Enter base side a and perpendicular height h using the same length unit. Base area B = 3√3 a²/2; base perimeter P = 6a; base apothem r = √3 a/2; face slant height s = √(h² + r²); lateral edge e = √(h² + a²). Volume V = Bh/3; lateral area L = Ps/2; total surface area A = B + L. For a = 2 and h = 3, base area is 6√3 ≈ 10.3923048454 square units, volume is 6√3 cubic units, slant height is √12 ≈ 3.46410161514 units, and total area is 18√3 ≈ 31.1769145362 square units. Slant height ends at a base side midpoint; it is different from the lateral edge ending at a vertex. These formulas require a regular base and centered apex. Use positive lengths from 1e-50 to 1e50; scientific notation is accepted. Areas use square units and volume uses cubic units. Results use browser floating-point arithmetic rounded to 12 significant digits. All inputs stay in your browser.
Frequently Asked Questions
Everything you need to know about this tool, how it works, and privacy.
How do I calculate hexagonal pyramid volume?
Use V = Bh/3, where B = 3√3 a²/2 for base side a. Side 2 and perpendicular height 3 give volume 6√3, approximately 10.3923048454 cubic units.
Does total surface area include the base?
Yes. Total surface area is B + 3as, where s = √(h² + 3a²/4). Lateral area 3as includes only the six triangular faces.
How is slant height different from lateral edge length?
Slant height runs from the apex to a base side midpoint and equals √(h² + 3a²/4). A lateral edge runs from the apex to a base vertex and equals √(h² + a²). Neither is the perpendicular height.
Which inputs and shapes are supported?
Use a regular hexagonal base with the apex directly above its center. Enter positive side and perpendicular height from 1e-50 to 1e50 in one unit. Scientific notation is accepted. Irregular or oblique pyramids are not supported. Results are rounded to 12 significant digits locally in your browser.