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How to use
This calculator links the core measurements of a cube. Give a side length, volume, surface area or space diagonal; the tool first recovers the side length and derives every other result from it.
- Choose the known measurement.
- Enter its value and a length unit.
- Calculate to recover the side length.
- Review volume, area, face/space diagonals and total edge length.
How it is calculated
Example
For a 5 cm side: volume is 125 cm³, surface area 150 cm², face diagonal about 7.071 cm and space diagonal about 8.660 cm.
Important notes
Volume is cubic, surface area is squared, while side and diagonals are lengths. Make sure the selected unit corresponds to the underlying length unit of the value you enter.
Worked examples and interpreting results
A cube with edge length 4 cm has volume 64 cm³ and surface area 96 cm². Its six square faces are equal. A face diagonal differs from the space diagonal joining opposite vertices through the interior.
| Case | Calculation | Result |
|---|---|---|
| Volume | 4³ | 64 cm³ |
| Surface area | 6 × 4² | 96 cm² |
| Space diagonal | 4 × √3 | 6.928203 cm |
How to check the result
Recover the edge from volume with the cube root: volume 64 gives edge 4. If the three dimensions differ, use the rectangular-prism calculator; a box is not necessarily a cube.
Frequently asked questions
Can I start from volume?
Yes. The side is the cube root of volume.
How many edges does a cube have?
Twelve equal edges, so their total length is 12s.
What is the difference between a face diagonal and a space diagonal?
A face diagonal joins opposite corners of one square face and equals a√2. A space diagonal runs through the cube between opposite vertices and equals a√3, so it is longer.