THE NUMBERS, EXPLAINED
How to use this calculator.
Uniform-height shelves; cabinet bottom supports the first level and each additional level requires one shelf thickness. Width/depth fit is supplied as models per shelf.
Start with your inputs
Enter cabinet usable height (mm), tallest displayed model including base (mm), clearance above model (mm), shelf thickness (mm), models fitting across each shelf (count). Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.
| Input | Example value |
|---|---|
| Cabinet usable height (mm) | 500 |
| Tallest displayed model including base (mm) | 100 |
| Clearance above model (mm) | 20 |
| Shelf thickness (mm) | 10 |
| Models fitting across each shelf (count) | 4 |
A worked example
With the example inputs above, display levels (count) is 3. Change the inputs to explore your own scenario.
| Result | Example answer |
|---|---|
| Display levels (count) | 3 |
| Maximum model capacity (count) | 12 |
| Level base pitch (mm) | 130 |
How this is calculated
Display levels (count)
Fit complete model-clearance bays with shelf thickness only between levels.
Maximum model capacity (count)
Multiply display levels by supplied per-level fit.
Level base pitch (mm)
Add model height, clearance and intervening shelf thickness.
Symbols and units
- a
- Cabinet usable height (mm)
- b
- Tallest displayed model including base (mm)
- c
- Clearance above model (mm)
- d
- Shelf thickness (mm)
- e
- Models fitting across each shelf (count)
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-height shelves; cabinet bottom supports the first level and each additional level requires one shelf thickness. Width/depth fit is supplied as models per shelf.
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?
Display levels (count); Maximum model capacity (count); Level base pitch (mm). 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-height shelves; cabinet bottom supports the first level and each additional level requires one shelf thickness. Width/depth fit is supplied as models per shelf.
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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