Rectangular Parallelepiped

A closed box composed of 3 pairs of rectangular faces placed opposite each other and joined at Right Angles to each other. This Parallelepiped therefore corresponds to a rectangular ``box.'' If the lengths of the sides are denoted $a$, $b$, and $c$, then the Volume is

$$V=abc,$$ (1)

the total Surface Area is

$$A=2(ab+bc+ca),$$ (2)

and the length of the ``space'' Diagonal is

$$d_{abc}=\sqrt{a^2+b^2+c^2}.$$ (3)

If $a=b=c$, then the rectangular parallelepiped is a Cube.

See also Cube, Euler Brick, Parallelepiped

References

Beyer, W. H. (Ed.) CRC Standard Mathematical Tables, 28th ed. Boca Raton, FL: CRC Press, p. 127, 1987.