Examples
Examples
Try the starting example
- Container internal length (cm)
- 120
- Container internal width (cm)
- 100
- Container internal height (cm)
- 100
- Uniform item length (cm)
- 40
- Uniform item width (cm)
- 30
- Uniform item height (cm)
- 20
- Allowed rotations: fixed, base or all
- all
- Best uniform-grid item count
- 45
- Selected item orientation (cm)
- 40, 30, 20
- Grid counts along container axes
- 3, 3, 5
- Unused volume (cm³)
- 120000
Try another scenario
- Container internal length (cm)
- 10
- Container internal width (cm)
- 10
- Container internal height (cm)
- 10
- Uniform item length (cm)
- 5
- Uniform item width (cm)
- 5
- Uniform item height (cm)
- 5
- Allowed rotations: fixed, base or all
- fixed
- Best uniform-grid item count
- 8
- Selected item orientation (cm)
- 5, 5, 5
- Grid counts along container axes
- 2, 2, 2
- Unused volume (cm³)
- 0
Calculation method
Calculation method
Best uniform-grid item count
For every permitted single orientation multiply the three axis floor counts; choose the largest result.
Selected item orientation (cm)
The selected dimensions along container length, width and height, with input order breaking ties.
Grid counts along container axes
Floor counts along the three axes for the selected orientation.
Unused volume (cm³)
Container volume − item count × one item volume.
Symbols and units
- a
- Container internal length (cm)
- b
- Container internal width (cm)
- c
- Container internal height (cm)
- d
- Uniform item length (cm)
- e
- Uniform item width (cm)
- f
- Uniform item height (cm)
- g
- Allowed rotations: fixed, base or all
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
- Compares uniform axis-aligned grids under the supplied rotation rule. Mixed orientations can improve loading; this does not claim a global optimum. Door openings, floor load, weight, securing and clearances are not assessed.
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: arithmetic and geometry ↗
Background reading; this does not imply endorsement or independent review of SumFizz.