Examples
Examples
Try the starting example
- Usable bin length (cm)
- 60
- Usable bin width (cm)
- 40
- Usable bin height (cm)
- 30
- Item length (cm)
- 10
- Item width (cm)
- 8
- Item height (cm)
- 5
- Global item-count allowance (%)
- 0
- Uniform-grid capacity
- 180
- Allowance-adjusted whole-item target
- 180
- Unused geometric volume (cm³)
- 0
Try another scenario
- Usable bin length (cm)
- 25
- Usable bin width (cm)
- 20
- Usable bin height (cm)
- 10
- Item length (cm)
- 10
- Item width (cm)
- 10
- Item height (cm)
- 10
- Global item-count allowance (%)
- 25
- Uniform-grid capacity
- 4
- Allowance-adjusted whole-item target
- 3
- Unused geometric volume (cm³)
- 1000
Calculation method
Calculation method
Uniform-grid capacity
Floor(bin length/item length) × floor(bin width/item width) × floor(bin height/item height).
Allowance-adjusted whole-item target
Floor(grid capacity × (1 − allowance/100)).
Unused geometric volume (cm³)
Bin volume − grid capacity × item volume.
Symbols and units
- a
- Usable bin length (cm)
- b
- Usable bin width (cm)
- c
- Usable bin height (cm)
- d
- Item length (cm)
- e
- Item width (cm)
- f
- Item height (cm)
- g
- Global item-count allowance (%)
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- Fixed item orientation in an ideal rectangular grid. The allowance reduces the count, not any specific physical clearance. Mixed packing, access, weight and handling requirements are outside this model.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.
Further reading
OpenStax: ratios, percentages and rectangular geometry ↗
Background reading; this does not imply endorsement or independent review of SumFizz.