THE NUMBERS, EXPLAINED
How to use this calculator.
Circular wire with uniform measured diameter; no gauge conversion is inferred. Density and price are user-supplied, and coatings/voids are excluded.
Start with your inputs
Enter measured wire diameter (mm), wire stock length (metres), supplied material density (g/cubic cm), supplied price per gram (currency/g). Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.
| Input | Example value |
|---|---|
| Measured wire diameter (mm) | 2 |
| Wire stock length (metres) | 1 |
| Supplied material density (g/cubic cm) | 10 |
| Supplied price per gram (currency/g) | 2 |
A worked example
With the example inputs above, wire volume (cubic cm) is 3.141593. Change the inputs to explore your own scenario.
| Result | Example answer |
|---|---|
| Wire volume (cubic cm) | 3.141593 |
| Wire mass (g) | 31.415927 |
| Material cost (currency) | 62.831853 |
How this is calculated
Wire volume (cubic cm)
Multiply circular cross-section by length; mm² times metres equals cm³.
Wire mass (g)
Multiply volume by density.
Material cost (currency)
Multiply mass by supplied price.
Symbols and units
- a
- Measured wire diameter (mm)
- b
- Wire stock length (metres)
- c
- Supplied material density (g/cubic cm)
- d
- Supplied price per gram (currency/g)
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions and limits
Circular wire with uniform measured diameter; no gauge conversion is inferred. Density and price are user-supplied, and coatings/voids are excluded.
Calculations use the values you enter. Blank or invalid inputs show an error instead of silently substituting zero. Results are displayed to useful precision; calculations retain the underlying numeric precision.
Questions about this tool
What does the result tell me?
Wire volume (cubic cm); Wire mass (g); Material cost (currency). The result applies to the method and inputs described above. Check the units and assumptions before using it in a decision.
Why might another calculator differ?
Differences in units, rounding, timing or model definitions can produce different answers. Compare the input definitions and the method, rather than only the final number. For this tool: Circular wire with uniform measured diameter; no gauge conversion is inferred. Density and price are user-supplied, and coatings/voids are excluded.
Are my inputs stored or sent to AI?
Calculations on this page happen in your browser. The separate AI question finder sends its submitted conversation to OpenAI; these calculator fields are not sent. Favourites and recent tool names are stored locally. A shared link contains the inputs you choose to include.
Further reading
OpenStax Prealgebra 2e — arithmetic and proportions ↗
Background reading; this does not imply endorsement or independent review of SumFizz.
Review status
Software example and browser checks are recorded in our quality report. No external expert review is claimed. Created with coding assistance; calculations run as ordinary browser code.
Read the quality report →