Dodecahedron Calculator

A regular dodecahedron is a solid with 12 identical regular-pentagon faces — one of the five Platonic solids, famous for appearing on 12-sided dice and in models of certain crystals and even ancient artifacts.

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What Is a Regular Dodecahedron Calculator?

A regular dodecahedron is a solid with 12 identical regular-pentagon faces — one of the five Platonic solids, famous for appearing on 12-sided dice and in models of certain crystals and even ancient artifacts. This calculator finds its volume and surface area from a single edge length.

How to Use This Regular Dodecahedron Calculator

  1. Measure one edge of the dodecahedron — all edges are equal in a regular dodecahedron.
  2. Enter the edge length into the field above.
  3. Click Calculate to get the volume and surface area.

Formula

Worked Example

A 12-sided die has an edge length of 1.5 cm. Volume = ((15+7√5)/4) × 1.5³ ≈ 24.62 cm³. Surface Area = 3√(25+10√5) × 1.5² ≈ 45.78 cm².

Frequently Asked Questions

What is a dodecahedron?

It's a 3D shape with 12 flat pentagonal faces, 20 vertices, and 30 edges — one of the five Platonic solids.

How is dodecahedron volume calculated?

Volume = (15 + 7√5)/4 × edge length³, a formula derived from its regular pentagonal geometry.

Where are dodecahedrons seen in real life?

Some dice used in tabletop gaming (d12) are dodecahedron-shaped, and the shape appears in certain crystal structures and architectural designs.

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