$Cube$

Cube

Find the volume, surface area, face diagonal and space diagonal of a cube from the edge, a diagonal, the volume or the area.

What is known:

Edge a

Units:

Lengths are positive numbers (whole or decimal), angles are in degrees.

Test yourself

The cube calculator finds the volume, the total and lateral surface area, the face diagonal, the space diagonal and the radii of the inscribed and circumscribed spheres from one known value: the edge, a face diagonal, the space diagonal, the volume or the surface area.

Cube formulas

Value	Formula
Volume	V = a³
Total surface area	S = 6a²
Lateral surface area	S_lat = 4a²
Face diagonal	d₁ = a√2
Space diagonal	d = a√3
Circumscribed sphere radius	R = a√3 / 2
Inscribed sphere radius	r = a / 2
Edge from volume	a = ∛V

Example 1. The edge of a cube is 4 cm.
V = 4³ = 64 cm³, S = 6 · 16 = 96 cm², d = 4√3 ≈ 6.93 cm.

Example 2. The volume of a cube is 125 cm³.
a = ∛125 = 5 cm, S = 6 · 25 = 150 cm².

A cube has 6 square faces, 12 equal edges and 8 vertices; three edges meet at right angles at each vertex. The cube is a regular polyhedron (hexahedron).