Special cases of parallelepipeds

Special cases of parallelepipeds are those where the faces or angles have additional properties. The most important special cases are:

• Rectangular parallelepiped: All faces are rectangles, and all angles are right angles.
• Cube: All faces are squares, and all edges are equal in length. Other special cases may include rhombohedra (all faces are rhombi) or parallelepipeds with certain symmetries.

Important properties

• A rectangular parallelepiped has all faces as rectangles and all angles as right angles.

• A cube is a rectangular parallelepiped with all edges equal.

• Special cases often have simpler formulas for volume and surface area.

• Symmetry increases as the parallelepiped becomes more regular (e.g., cubes have the most symmetry).