Examples
Examples
Try the starting example
- Usable pallet length (cm)
- 120
- Usable pallet width (cm)
- 100
- Carton base length (cm)
- 40
- Carton base width (cm)
- 30
- Carton height (cm)
- 20
- Allowed cargo height above pallet (cm)
- 100
- Cartons requested
- 100
- Cartons per layer
- 9
- Layers
- 5
- Cartons per pallet
- 45
- Pallets required
- 3
- Uniform base orientation
- 40 × 30
Try another scenario
- Usable pallet length (cm)
- 100
- Usable pallet width (cm)
- 100
- Carton base length (cm)
- 50
- Carton base width (cm)
- 50
- Carton height (cm)
- 25
- Allowed cargo height above pallet (cm)
- 50
- Cartons requested
- 9
- Cartons per layer
- 4
- Layers
- 2
- Cartons per pallet
- 8
- Pallets required
- 2
- Uniform base orientation
- 50 × 50
Calculation method
Calculation method
Cartons per layer
Compare the two uniform, axis-aligned carton base orientations; choose the larger rectangular grid.
Layers
Floor(allowed cargo height / carton height).
Cartons per pallet
Best uniform layer count × layer count.
Pallets required
Round up requested cartons / cartons per pallet.
Uniform base orientation
The chosen base dimensions along pallet length and width, in centimetres.
Symbols and units
- a
- Usable pallet length (cm)
- b
- Usable pallet width (cm)
- c
- Carton base length (cm)
- d
- Carton base width (cm)
- e
- Carton height (cm)
- f
- Allowed cargo height above pallet (cm)
- g
- Cartons requested
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 two uniform base rotations with cartons upright and no overhang. Mixed orientations can pack better. Cargo height excludes the pallet itself. Weight, stability, crush limits and transport rules 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: ratios, percentages and rectangular geometry ↗
Background reading; this does not imply endorsement or independent review of SumFizz.