Cube Volume Calculator
Calculate a cube’s volume, surface area and space diagonal from its side, or find the side from the volume.
Your inputs
Results
Volume
64 m³
- Side length
- 4 m
- Surface area
- 96 m²
- Space diagonal
- 6.928203 m
- In litres
- 64,000 L
✓Exact calculation — rounded only for display
What this calculator does
All sides of a cube are equal, so one measurement defines everything.
Formula and method
Volume = s³; Surface = 6s²; Diagonal = s√3; s = ∛V
Worked example
Calculated by this tool with its default inputs:
Inputs
- Length unit: Metres
- I know the: Side length
- Value: 4
Results
- Volume: 64 m³
- Side length: 4 m
- Surface area: 96 m²
- Space diagonal: 6.928203 m
- In litres: 64,000 L
How to read the results
Doubling the side multiplies volume by eight.
Assumptions and limitations
- Use one length unit consistently; areas are in square units and volumes in cubic units of that length.
Quantities and costs are planning estimates. Add sensible allowances, and check with suppliers, carriers or professionals before buying, shipping or building.
Questions
What is a space diagonal?
The longest straight line from one corner to the opposite corner through the cube.
Methodology and verification
- Result type
- Exact mathematical calculation (rounded only for display)
- Formula version
- 1.0
- Automated verification
- 3 reference and validation test cases, checked against independently computed values. The site cannot be built if any of them fail.
- Editorial review
- Awaiting human editorial review. The explanation was drafted with AI assistance; the formula and examples are verified by the automated tests above.
Privacy
Everything you enter is calculated in this browser and is not sent to Numerith or anyone else. Inputs are added to a share link only if you choose to include them. Privacy policy