Calculators
Regular Dodecahedron Calculator
Calculate regular dodecahedron volume, total surface area, and pentagonal face area from edge length, privately in your browser.
Measure a regular dodecahedron from its edge length.
A regular dodecahedron has twelve regular pentagonal faces, thirty equal edges, and twenty vertices. For shared edge length a, volume V = (15 + 7√5)a³/4, single face area F = √(25 + 10√5)a²/4, and total surface area A = 12F = 3√(25 + 10√5)a². For a = 2, volume is approximately 61.304951685 cubic units, face area is 6.88190960236 square units, and total surface area is 82.5829152283 square units. These formulas require a regular dodecahedron; they do not describe arbitrary twelve-faced solids. Use one consistent length unit; areas use square units and volume uses cubic units. Enter a positive edge length from 1e-50 to 1e50, including scientific notation. Results use browser floating-point arithmetic rounded to 12 significant digits. All calculations stay in your browser.
Frequently Asked Questions
Everything you need to know about this tool, how it works, and privacy.
What is the volume formula?
For edge length a, volume = (15 + 7√5)a³/4. An edge length of 2 gives approximately 61.304951685 cubic units.
How is surface area calculated?
Each regular pentagonal face has area √(25 + 10√5)a²/4. Multiply by twelve to obtain total surface area.
Can I use any twelve-faced solid?
No. All twelve faces must be congruent regular pentagons and all thirty edges must have equal lengths.
Which units and inputs are supported?
Use any consistent length unit and a positive edge from 1e-50 to 1e50. Scientific notation is accepted. Areas use squared units and volume uses cubed units; results are rounded to 12 significant digits. Inputs stay in your browser.