How it works
Total area includes the square base and four triangular faces. Positive vertical height requires face slant height greater than half the base side. This form solves for face slant height; enter the known quantities in Surface area, Base side.
Inputs and units
| Input | Example value | What to enter |
|---|---|---|
| Surface area | 56 cm² | Formula symbol: S. Required unit: cm². Must be greater than zero. |
| Base side | 4 cm | Formula symbol: s. 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.
- Surface area
- 56 cm²
- Base side
- 4 cm
Complete example results
- Face slant height
- 5 cm
Reading the result
The result solves for face slant height 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 face slant height 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