Polyhedron
Cube
- Platonic
- 6 faces
- Dual: octahedron
The cube is a Platonic solid with 6 faces, 12 edges and 8 vertices: 6 squares. Its dual is the octahedron, and its dihedral angle is 90°. It is also called the hexahedron.
Faces, edges and vertices
Faces66 squares
Edges12
Vertices8
Euler characteristicV − E + F = 8 − 12 + 6 = 2every convex polyhedron gives 2
FamilyPlatonicregular: identical regular faces meeting identically at every vertex
Dual polyhedronoctahedron
Measurements at edge length 1
Volume1cubic units for a unit edge
Surface area6square units for a unit edge
Dihedral angle90°the angle between two adjacent faces
Volume at edge 101,000
Surface area at edge 10600
Isoperimetric ratio0.52361 for a sphere; higher means more efficiently packed
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Platonic solids
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