Surface Area of a Dodecahedron Calculator
Enter the edge length of a regular dodecahedron and instantly get its total surface area.
Dodecahedron Edge Length
Enter the length of one edge of the regular dodecahedron.
Formula
SA = 3 × √(25 + 10√5) × a²
The constant 3√(25+10√5) ≈ 20.6457
Enter an edge length to see the result
Total Surface Area
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cm²
Calculation Details
Edge length (a)
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a²
—
Constant (3√(25+10√5))
20.64573...
Surface Area
—
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Summary
Enter the edge length of a regular dodecahedron and instantly get its total surface area.
How it works
- Enter the edge length of the dodecahedron in the input field.
- Choose your preferred unit (mm, cm, m, in, ft).
- The calculator applies the formula SA = 3 * sqrt(25 + 10*sqrt(5)) * a^2.
- The total surface area is displayed instantly in the same unit squared.
- Copy the result or try another edge length.
Use cases
- Computing surface area for 3D printing or CNC machining a dodecahedron.
- Solving geometry homework or exam problems involving Platonic solids.
- Estimating paint or coating material needed for a dodecahedral object.
- Verifying hand calculations in architectural or design projects.
- Teaching or learning solid geometry and polyhedron properties.
- Game design or tabletop RPG dice (d12) dimension calculations.
Frequently Asked Questions
Last updated: 2026-06-13 ·
Reviewed by Nham Vu