THE NUMBERS, EXPLAINED
How to use this calculator.
Uniform rectangular section and unchanged cross-section; signed results indicate added or removed stock. Solder, stretching, finishing loss and feasibility are not modeled.
Start with your inputs
Enter current ring circumference (mm), target ring circumference (mm), rectangular section width (mm), rectangular section thickness (mm), supplied metal density (g/cubic cm). Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.
| Input | Example value |
|---|---|
| Current ring circumference (mm) | 50 |
| Target ring circumference (mm) | 55 |
| Rectangular section width (mm) | 4 |
| Rectangular section thickness (mm) | 2 |
| Supplied metal density (g/cubic cm) | 10 |
A worked example
With the example inputs above, signed stock length change (mm) is 5. Change the inputs to explore your own scenario.
| Result | Example answer |
|---|---|
| Signed stock length change (mm) | 5 |
| Signed metal volume change (cubic mm) | 40 |
| Signed metal mass change (g) | 0.4 |
How this is calculated
Signed stock length change (mm)
Subtract current circumference from target.
Signed metal volume change (cubic mm)
Multiply length change by cross-sectional area.
Signed metal mass change (g)
Convert cubic mm to cubic cm and multiply density.
Symbols and units
- a
- Current ring circumference (mm)
- b
- Target ring circumference (mm)
- c
- Rectangular section width (mm)
- d
- Rectangular section thickness (mm)
- e
- Supplied metal density (g/cubic cm)
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
Uniform rectangular section and unchanged cross-section; signed results indicate added or removed stock. Solder, stretching, finishing loss and feasibility are not modeled.
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?
Signed stock length change (mm); Signed metal volume change (cubic mm); Signed metal mass change (g). 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: Uniform rectangular section and unchanged cross-section; signed results indicate added or removed stock. Solder, stretching, finishing loss and feasibility are not modeled.
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.
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