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Field note5 min read

How Many Items Fit in a Box?

Dividing box volume by item volume is only an upper bound; the dimensions of the grid decide the real count.

Calculate a grid, not a volume ratio

Each axis must fit a whole number of items. Leftover space on one axis cannot always be transferred to another, which is why a simple volume ratio can overstate the count.

FORMULA
Fit = floor(Box L ÷ Item L) × floor(Box W ÷ Item W) × floor(Box H ÷ Item H)

Test all six orientations

A rectangular item can be assigned to the box axes in six axis-aligned ways. The best orientation is the feasible grid with the largest count, subject to any “this side up,” fragility, or presentation constraint.

Allow for real packaging

  • Subtract dividers, liners, and padding from usable box dimensions.
  • Allow insertion clearance and manufacturing tolerance.
  • Do not assume products can nest or compress.
  • Validate the calculated pattern with a physical pack-out.