Cube Surface Area Calculator
A cube is a three-dimensional shape with six equal square faces, twelve equal edges, and eight vertices. The surface area of a cube is the total area of all six faces: A = 6 * a², where a is the length of one side. The volume is V = a³. The diagonal (the longest distance between two opposite vertices) is d = a * √3. This calculator computes the surface area, volume, and diagonal of a cube from the side length.
Cube formulas
Surface Area = 6 * a²
Volume = a³
Diagonal = a * √3
Reference values
| Side Length | Surface Area | Volume | Diagonal |
|---|---|---|---|
| 1 cm | 6.00 cm² | 1.00 cm³ | 1.73 cm |
| 2 cm | 24.00 cm² | 8.00 cm³ | 3.46 cm |
| 5 cm | 150.00 cm² | 125.00 cm³ | 8.66 cm |
| 10 cm | 600.00 cm² | 1,000.00 cm³ | 17.32 cm |
Cube surface area calculator: frequently asked questions
What is the surface area formula for a cube?
A cube has 6 equal square faces. The surface area is A = 6 * a², where a is the side length.
What is the volume formula?
The volume of a cube is V = a³, where a is the side length. This is the amount of space enclosed.
What is the diagonal formula?
The diagonal of a cube is d = a * √3, where a is the side length. This is the longest distance between two opposite vertices.
What is a cube?
A cube is a three-dimensional shape with six equal square faces, twelve equal edges, and eight vertices. All angles are right angles.
Where are cubes found?
Cubes appear in dice, boxes, building blocks, storage containers, and in mathematical and scientific contexts.
Official sources
- Khan Academy: Volume and surface area of solids.
- NIST: National Institute of Standards and Technology.
Reviewed by the CalculatorHub team, edited by James Graham, 14 June 2026. See our methodology.