Math
Square pyramid
Find volume, slant height and surface area of a right square pyramid.
Calculators / Math / Regular hexagonal pyramid
Regular hexagonal pyramid calculator
Find volume, slant height and total surface area of a right regular hexagonal pyramid.
On this page
Volume17.32units³
Slant height5.29units
Surface area42.14units²
Calculator controls
How to calculate
Find volume, slant height and total surface area of a right regular hexagonal pyramid.
Volume = sqrt(3)*a^2*h/2 units³; Slant height = sqrt(h^2+3*a^2/4) units; Surface area = 3*sqrt(3)*a^2/2+3*a*sqrt(h^2+3*a^2/4) units²
Worked example
Base side: 2; Vertical height: 5.
Volume: 17.32 units³; Slant height: 5.29 units; Surface area: 42.14 units².
Assumptions and limits
The hexagonal base must be regular, with six equal sides, and the apex directly above its centre. Surface area includes the base and six triangular faces.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
Find volume, slant height and total surface area of a right regular hexagonal pyramid.
When this tool is useful
Volume = sqrt(3)*a^2*h/2 units³; Slant height = sqrt(h^2+3*a^2/4) units; Surface area = 3*sqrt(3)*a^2/2+3*a*sqrt(h^2+3*a^2/4) units²
Understanding your inputs
| Input | What to enter |
|---|---|
| Base side | Enter a number of at least 1e-12 and no more than 1000000000000. |
| Vertical height | Enter a number of at least 1e-12 and no more than 1000000000000. |
Frequently asked questions
What assumptions does this calculation use?
The hexagonal base must be regular, with six equal sides, and the apex directly above its centre. Surface area includes the base and six triangular faces.
How is the result calculated?
Volume = sqrt(3)*a^2*h/2 units³; Slant height = sqrt(h^2+3*a^2/4) units; Surface area = 3*sqrt(3)*a^2/2+3*a*sqrt(h^2+3*a^2/4) units²