Formulas and Tables

Elementary Geometry

Rectangular Parallelepiped

Edges (sides) of a parallelepiped: \(a\), \(b\), \(c\)
Diagonal of a parallelepiped: \(d\)

Surface area: \(S\)
Volume: \(V\)

  1. A rectangular parallelepiped is a three-dimensional figure bounded by six rectangular faces. A rectangular parallelepiped is a particular case of a prism.
Rectangular parallelepiped
  1. A rectangular parallelepiped whose faces are squares is called a cube.
  2. Diagonal of a rectangular parallelepiped
    \(d = \sqrt {{a^2} + {b^2} + {c^2}} \)
  3. Total surface area of a rectangular parallelepiped
    \(S = 2\left( {ab + ac + bc} \right)\)
  4. Volume of a rectangular parallelepiped
    \(V = abc\)