Math
Square pyramid
Find volume, slant height and surface area of a right square pyramid.
Calculators / Math / Regular tetrahedron
Regular tetrahedron calculator
Find the volume, surface area and height of a tetrahedron with six equal edges.
On this page
Volume25.46units³
Surface area62.35units²
Vertical height4.9units
Calculator controls
How to calculate
Find the volume, surface area and height of a tetrahedron with six equal edges.
Volume =
a^3/(6*sqrt(2)) units³Surface area =
sqrt(3)*a^2 units²Vertical height =
sqrt(2/3)*a unitsWorked example
- Edge length: 6
- Volume: 25.46 units³
- Surface area: 62.35 units²
- Vertical height: 4.9 units
Assumptions and limits
All lengths must use one common unit. These are ideal geometric measurements; allowances, thickness, manufacturing tolerances and measurement uncertainty are excluded.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
Find the volume, surface area and height of a tetrahedron with six equal edges. Use the edge of one face, rather than its face height, to model a regular triangular pyramid.
When this tool is useful
Use the edge of one face, rather than its face height, to model a regular triangular pyramid.
Understanding your inputs
| Input | Example |
|---|---|
Edge length a | 6 |
Frequently asked questions
Which assumptions matter for this result?
All lengths must use one common unit. These are ideal geometric measurements; allowances, thickness, manufacturing tolerances and measurement uncertainty are excluded.
How can I check the worked example?
Use the displayed example inputs in the stated formula. Keep each quantity in its labelled unit and compare the unrounded result before applying display rounding.