Cube

A cube is a regular polyhedron (specifically, a regular hexahedron) with 6 congruent square faces, 12 equal edges, and 8 vertices. It is a special case of a rectangular parallelepiped where all edge lengths are equal and all angles are right angles.

Important properties

• All faces are congruent squares

• All edges are equal in length

• Each vertex has 3 edges meeting at right angles

• Volume: $V = a^3$ for edge length $a$

• Surface area: $S = 6a^2$

• Diagonals of a face: $a ext{√}2$; space diagonal: $a ext{√}3$