Formulas

Elementary Geometry

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Cube

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.
  2. Cube
  3. Diagonal of a cube
    \(d = a\sqrt 3 \)
  4. Radius of the inscribed sphere
    \(r = a/2\)
  5. Radius of the circumscribed sphere
    \(R = a\sqrt 3/2 \)
  6. Total surface area of a cube
    \(S = 6{a^2}\)
  7. Volume of a cube
    \(V = {a^3}\)