Box Fill Calculator — How Many Items Fit in a Box
Enter the length, width and height of your box and your items. The calculator uses a simple grid layout to tell you how many fit, how full the box will be, and how much volume goes to waste.
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Maximum items in a grid arrangement (no rotation)
64
items- 1
Items along length
⌊60 ÷ 15⌋ = 4 - 2
Items along width
⌊40 ÷ 10⌋ = 4 - 3
Layers (height)
⌊40 ÷ 10⌋ = 4 - 4
Total items
4 × 4 × 4 = 64Grid packing — ⌊⌋ discards the partial-item gap at each edge, so the result is always a whole number.
How does this calculator work?
Items that fit = ⌊Box L ÷ Item L⌋ × ⌊Box W ÷ Item W⌋ × ⌊Box H ÷ Item H⌋. Enter box and item dimensions in any consistent unit to get the capacity, fill percentage and wasted space. The result assumes rectangular grid packing with no item rotation.
Formula
How this is calculated
The calculator divides each box dimension by the matching item dimension and takes the floor (whole-number part) to find how many items fit along that axis — L items along the length, W items along the width and H layers tall. Multiplying those three counts gives the total maximum items in a regular grid with faces aligned to the box walls.
Fill percentage = (items × item volume) ÷ box volume × 100. The remainder is wasted space — the gaps at each edge where an extra item would not fit. Real packing situations also involve protective padding, irregular shapes and the option to rotate items; this calculator assumes each item is placed identically with no rotation, which gives a quick conservative estimate.
All dimensions share the same unit (centimetres by default, but any consistent unit works — inches, millimetres, metres). If rotating items might help, swap the item dimensions manually and compare the result: for example, swapping item length and width and re-running may reveal that a different orientation fits more items.
Frequently asked questions
No — it packs items in a fixed orientation with all faces parallel to the box walls. To test rotation, manually swap item dimensions and re-run. Sometimes a 90° turn fits noticeably more pieces.
Any unit — centimetres, inches, millimetres — as long as you use the same unit for both the box and the items. The fill percentage is unit-independent; the volume figures are in the cubed version of whatever unit you chose.
Wasted space accumulates in the strips at each wall where a partial item will not fit. Boxes that are only a few items deep in any dimension can have significant leftover edges, especially when the item is large relative to the box.
Also known as
TG we-Calculate Editorial Team. (2026). Box Fill Calculator — How Many Items Fit in a Box [Online calculator]. TG we-Calculate. https://we-calculate.com/calculator/box-fill-calculator
TG we-Calculate Editorial Team. "Box Fill Calculator — How Many Items Fit in a Box." TG we-Calculate. 2026. https://we-calculate.com/calculator/box-fill-calculator.
TG we-Calculate Editorial Team, "Box Fill Calculator — How Many Items Fit in a Box," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/calculator/box-fill-calculator
@misc{wecalculate_box_fill_calculator, title = {Box Fill Calculator — How Many Items Fit in a Box}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/calculator/box-fill-calculator}}, year = {2026}, note = {TG we-Calculate} }
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