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# Formulas and Tables

Elementary Geometry

# 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.
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
$$V = {a^3}$$