THE NUMBERS, EXPLAINED
How to use this calculator.
Reference cells map independently in x and y; differing scale factors imply distortion. The last reference row/column can be partial.
Start with your inputs
Enter reference image width (cm), reference image height (cm), mural width (cm), mural height (cm), reference grid square side (cm). Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.
| Input | Example value |
|---|---|
| Reference image width (cm) | 20 |
| Reference image height (cm) | 10 |
| Mural width (cm) | 200 |
| Mural height (cm) | 150 |
| Reference grid square side (cm) | 5 |
A worked example
With the example inputs above, horizontal scale factor is 10. Change the inputs to explore your own scenario.
| Result | Example answer |
|---|---|
| Horizontal scale factor | 10 |
| Vertical scale factor | 15 |
| Mapped full-cell width (cm) | 50 |
| Mapped full-cell height (cm) | 75 |
| Reference grid columns × rows | 4 × 2 |
How this is calculated
Horizontal scale factor
Divide mural width by reference width.
Vertical scale factor
Divide mural height by reference height.
Mapped full-cell width (cm)
Scale reference grid width horizontally.
Mapped full-cell height (cm)
Scale reference grid height vertically.
Reference grid columns × rows
Round source dimensions up to grid-cell counts.
Symbols and units
- a
- Reference image width (cm)
- b
- Reference image height (cm)
- c
- Mural width (cm)
- d
- Mural height (cm)
- e
- Reference grid square side (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
Reference cells map independently in x and y; differing scale factors imply distortion. The last reference row/column can be partial.
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?
Horizontal scale factor; Vertical scale factor; Mapped full-cell width (cm); Mapped full-cell height (cm); Reference grid columns × rows. 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: Reference cells map independently in x and y; differing scale factors imply distortion. The last reference row/column can be partial.
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 →