THE NUMBERS, EXPLAINED
How to use this calculator.
Uniform reduction at a supplied model scale. Raster dimensions round up to whole pixels to avoid undersizing; one inch is exactly 25.4 mm.
Start with your inputs
Enter prototype lettering width (mm), prototype lettering height (mm), scale denominator, print resolution (pixels/inch). Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.
| Input | Example value |
|---|---|
| Prototype lettering width (mm) | 1000 |
| Prototype lettering height (mm) | 500 |
| Scale denominator | 100 |
| Print resolution (pixels/inch) | 254 |
A worked example
With the example inputs above, printed width and height (mm) is 10, 5. Change the inputs to explore your own scenario.
| Result | Example answer |
|---|---|
| Printed width and height (mm) | 10, 5 |
| Minimum raster width and height (pixels) | 100, 50 |
How this is calculated
Printed width and height (mm)
Divide prototype lettering dimensions by scale denominator.
Minimum raster width and height (pixels)
Convert scaled millimetres to inches, apply print resolution and round up.
Symbols and units
- a
- Prototype lettering width (mm)
- b
- Prototype lettering height (mm)
- c
- Scale denominator
- d
- Print resolution (pixels/inch)
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 reduction at a supplied model scale. Raster dimensions round up to whole pixels to avoid undersizing; one inch is exactly 25.4 mm.
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?
Printed width and height (mm); Minimum raster width and height (pixels). 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 reduction at a supplied model scale. Raster dimensions round up to whole pixels to avoid undersizing; one inch is exactly 25.4 mm.
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: Solve proportions and their applications ↗
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 →