How this calculation works
Surface area uses four equilateral triangles. Doubling the edge multiplies area by four and volume by eight.
THE FORMULA
V = a³/(6√2), A = √3 a²A worked example
Edge 6 gives volume 216/(6√2) = 18√2.
Good to know
All six edges must have the same length.
Reference: OpenStax Algebra and Trigonometry, Trigonometric Applications (opens in a new tab) ↗
Read the result
Calculate the volume and surface area of a tetrahedron with four equilateral faces.
The primary result is labeled “Volume”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
All six edges must have the same length.
For a related exercise, try the circle calculator.
A few questions, answered
How can I check the default inputs by hand?
Edge 6 gives volume 216/(6√2) = 18√2.
Which rule does this calculator apply?
V = a³/(6√2), A = √3 a²