How this calculation works
Calculate the area and volume of a solid with twenty equilateral faces.
THE FORMULA
A=5√3a², V=5(3+√5)a³/12A worked example
At edge length 2, the surface area is 20√3.
Good to know
All edges must be equal.
Reference: OpenStax Algebra and Trigonometry, Trigonometric Applications (opens in a new tab) ↗
Read the result
Calculate the area and volume of a solid with twenty equilateral faces.
The primary result is labeled “Surface area”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
All edges must be equal.
For a related exercise, try the circle calculator.
A few questions, answered
How can I check the default inputs by hand?
At edge length 2, the surface area is 20√3.
Which rule does this calculator apply?
A=5√3a², V=5(3+√5)a³/12