Use this Regular Dodecahedron Calculator to calculate the volume and surface area of a dodecahedron based on its edge length.
a = edge length
V = volume of the dodecahedron
S = surface area of the dodecahedron
| Edge Length (a) | Volume | Surface Area |
|---|---|---|
| 1 | 7.663118 | 20.645729 |
| 2 | 61.304944 | 82.582918 |
| 3 | 206.223531 | 185.811561 |
| 4 | 1229.030944 | 330.331672 |
| 5 | 479.444218 | 514.143225 |
1. Measure the edge length a.
2. Compute volume using V = (1/4) × (15 + 7√5) × a³.
3. Compute surface area using S = 3 × √25 + 10√5 × a².
4. Results give the dodecahedron volume and surface area manually.
The Regular Dodecahedron Calculator gives accurate results up to six decimals for volume and surface area. Useful for geometry enthusiasts, students, and designers.
• A dodecahedron has 12 pentagonal faces.
• It is one of the five Platonic solids.
• The dual of a dodecahedron is the icosahedron.
• Appears in 3D modeling and crystallography.
• Each vertex joins three faces.