Calculator
Compare six uniform orientations using inside box dimensions, item size, lining and gaps. See the layout per layer and the boxes needed.
Results update as you type · Prefilled values are a worked example
Best uniform arrangement: 5 × 2 × 4 items
Top view · Items per layer: 10; 4 layers
| Item orientation · cm | Count along each axis | Items per box |
|---|---|---|
| 12 × 8 × 5 | 3 × 3 × 4 | 36 |
| 12 × 5 × 8 | 3 × 6 × 2 | 36 |
| 8 × 12 × 5 | 5 × 2 × 4 | 40 |
| 8 × 5 × 12 | 5 × 6 × 1 | 30 |
| 5 × 12 × 8 | 8 × 2 × 2 | 32 |
| 5 × 8 × 12 | 8 × 3 × 1 | 24 |
Uniform orientation across the box; diagonal and mixed orientations are excluded. Test the physical fit before packing.
Volume alone does not establish fit: a 36 × 1 × 1 cm item cannot fit along any edge of a 12 × 12 × 12 cm box, even though 1,728 ÷ 36 = 48. For each axis, use floor((inside length − 2 × lining + gap) ÷ (item length + gap)). There are n − 1 gaps for n items. Multiply the three whole-number counts and compare the six orientations. Upright mode only rotates the base.
This compares axis-aligned, uniformly oriented grids, not mixed orientations or diagonal packing, and does not guarantee optimal packing. Measure inside dimensions, allow for packaging and tolerances, and test the physical fit. Weight limits, shipping charges and transport protection are not calculated. The diagram draws at most 300 items per layer; the count remains complete.
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