Dodecahedron
A 3D shape with 12 flat faces.
Dodecahedron Facts
Notice these interesting things:
- It has 12 faces
- It has 30 edges
- It has 20 vertices (corner points)
When it is regular:
- Each face is a pentagon (5 edges)
- At each vertex 3 edges meet
- It is one of the Platonic Solids
images/polyhedra.js?mode=dodecahedron
Volume and Surface Area
Surface Area =3 × √(25 + 10√5) × (Edge Length)2Volume =(15 + 7√5) / 4 × (Edge Length)3
It is called a dodecahedron because it is a polyhedron that has 12 faces (from Greek dodeca- meaning 12).
When we have more than one dodecahedron they are called dodecahedra
When we say dodecahedron we usually mean a regular dodecahedron (all faces are the same size and shape), but it doesn't have to be.
This is also a dodecahedron,
even though all faces are not the same
12-Sided Dice? Yes! A dodecahedron which has 12 equal faces has an equal chance of landing on any face.
In fact, you can make fair dice out of all of the Platonic Solids.
Example: Dodecahedron in Art and Architecture
The dodecahedron is often used in art and architectural design to create visually striking structures.
| Make your own Dodecahedron, cut out the shape and glue it together. |
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1848, 1849, 1850, 1851