Formulas and Tables

Elementary Geometry


Edge (side) of a cube: \(a\)
Diagonal of a cube: \(d\)
Surface area: \(S\)

Radius of the inscribed sphere: \(r\)
Radius of the circumscribed sphere: \(R\)
Volume: \(V\)

  1. A cube is a regular polyhedron bounded by six square faces. A cube is a particular case of a prism and a rectangular parallelepiped.
  1. Diagonal of a cube
    \(d = a\sqrt 3 \)
  2. Radius of the inscribed sphere
    \(r = a/2\)
  3. Radius of the circumscribed sphere
    \(R = a\sqrt 3/2 \)
  4. Total surface area of a cube
    \(S = 6{a^2}\)
  5. Volume of a cube
    \(V = {a^3}\)