How this calculation works
Compute the volume and total area of a regular octahedron.
THE FORMULA
V=√2 a³/3 and A=2√3 a²A worked example
An edge of 3 gives volume 9√2.
Good to know
All eight faces are equilateral triangles.
Reference: OpenStax Algebra and Trigonometry, Trigonometric Applications (opens in a new tab) ↗
Read the result
Compute the volume and total area of a regular octahedron.
The primary result is labeled “Volume”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
All eight faces are equilateral triangles.
For a related exercise, try the circle calculator.
A few questions, answered
How can I check the default inputs by hand?
An edge of 3 gives volume 9√2.
Which rule does this calculator apply?
V=√2 a³/3 and A=2√3 a²