Rectangular parallelepipeds

A rectangular parallelepiped is a special type of parallelepiped where all faces are rectangles and all dihedral angles are right angles. It is also known as a rectangular box or a cuboid.

Important properties

• It has 6 rectangular faces, 12 edges, and 8 vertices.

• Opposite faces are congruent and parallel.

• All angles between adjacent faces are 90 degrees.

• The volume is given by $V = a \times b \times c$, where $a$, $b$, and $c$ are the lengths of the three edges meeting at one vertex.

• The surface area is $2(ab + bc + ca)$.