THE NUMBERS, EXPLAINED
How to use this calculator.
Axis-aligned rectangular blanks, with no rotation or nesting. One kerf is budgeted after every blank on each axis, including the final cut: this conservative convention leaves a separately measurable remainder. Does not evaluate timber defects or turning safety.
Start with your inputs
Enter stock length (mm), stock width (mm), stock thickness (mm), blank length (mm), blank width (mm), blank thickness (mm), saw kerf (mm). Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.
| Input | Example value |
|---|---|
| Stock length (mm) | 1000 |
| Stock width (mm) | 100 |
| Stock thickness (mm) | 100 |
| Blank length (mm) | 200 |
| Blank width (mm) | 40 |
| Blank thickness (mm) | 40 |
| Saw kerf (mm) | 3 |
A worked example
With the example inputs above, blank count is 16. Change the inputs to explore your own scenario.
| Result | Example answer |
|---|---|
| Blank count | 16 |
| Blanks along length | 4 |
| Blanks across width | 2 |
| Blanks through thickness | 2 |
| Length remainder (mm) | 188 |
| Width remainder (mm) | 14 |
| Thickness remainder (mm) | 14 |
How this is calculated
Blank count
Multiply the three axis counts.
Blanks along length
Round down stock length ÷ (blank length + kerf).
Blanks across width
Round down stock width ÷ (blank width + kerf).
Blanks through thickness
Round down stock thickness ÷ (blank thickness + kerf).
Length remainder (mm)
Stock length minus length count × (blank length + kerf).
Width remainder (mm)
Stock width minus width count × (blank width + kerf).
Thickness remainder (mm)
Stock thickness minus thickness count × (blank thickness + kerf).
Symbols and units
- a
- Stock length (mm)
- b
- Stock width (mm)
- c
- Stock thickness (mm)
- d
- Blank length (mm)
- e
- Blank width (mm)
- f
- Blank thickness (mm)
- g
- Saw kerf (mm)
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
Axis-aligned rectangular blanks, with no rotation or nesting. One kerf is budgeted after every blank on each axis, including the final cut: this conservative convention leaves a separately measurable remainder. Does not evaluate timber defects or turning safety.
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?
Blank count; Blanks along length; Blanks across width; Blanks through thickness; Length remainder (mm); Width remainder (mm); Thickness remainder (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: Axis-aligned rectangular blanks, with no rotation or nesting. One kerf is budgeted after every blank on each axis, including the final cut: this conservative convention leaves a separately measurable remainder. Does not evaluate timber defects or turning safety.
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: geometric formulas and arithmetic ↗
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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