How it works
The space diagonal joins opposite vertices, not two vertices on one face. The three edges are mutually perpendicular. This form solves for length; enter the known quantities in Space diagonal, Width, Height.
Inputs and units
| Input | Example value | What to enter |
|---|---|---|
| Space diagonal | 13 cm | Formula symbol: d. Required unit: cm. Must be greater than zero. |
| Width | 4 cm | Formula symbol: b. Required unit: cm. Must be greater than zero. |
| Height | 12 cm | Formula symbol: h. Required unit: cm. Must be greater than zero. |
Worked example
Show example inputs and results
This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.
- Space diagonal
- 13 cm
- Width
- 4 cm
- Height
- 12 cm
Complete example results
- Length
- 3 cm
Reading the result
The result solves for length from the entered quantities. Check the result unit and the formula conditions before using it.
Questions and answers
Can I use the example values for my own calculation?
The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.
When can I use the length result?
Lengths use cm, areas cm² and volumes cm³ on one consistent scale. The positive real branch is selected; the supplied quantities must describe the stated shape.
Why are some results rounded?
Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.
Are my inputs sent to a server?
The calculator processes inputs in your browser. Its code does not send your values to a server.
Method sources: openstax.org