How Many Items Fit in a Box
Round down along each axis and multiply. It always comes out below volume-over-volume, because leftover space cannot be subdivided — and that gap is the fill efficiency shown.
Your numbers
Items that fit
36
Count
52
Fill share
69.1%
What it means
36 fit in one orientation. Volume alone suggests 52, but you cannot cut items, so only 69.1% of the space is used.
Formula
Items that fit = ⌊Length ÷ Item width⌋ × ⌊Width ÷ Item depth⌋ × ⌊Depth ÷ Item height⌋
Turning items on their side changes the answer. Swap the three item dimensions around to find the best orientation.
What to enter
| Input | Default | Accepted range |
|---|---|---|
| Length (cm)The measurement across, side to side. | 40 | 0.1 and up |
| Width (cm)The measurement front to back. | 30 | 0.1 and up |
| Depth (cm)How deep it goes. | 25 | 0.1 and up |
| Item width (cm)The width of the item being packed. | 12 | 0.1 and up |
| Item depth (cm)The depth of the item being packed. | 8 | 0.1 and up |
| Item height (cm)The height of the item; laying it down swaps this figure. | 6 | 0.1 and up |
Step by step
Quick reference table
Results when only Length (cm) changes and everything else stays put.
| Length (cm) | Items that fit | Count | Fill share (%) |
|---|---|---|---|
| 20 | 12 | 26 | 46.1 |
| 30 | 24 | 39 | 61.4 |
| 40 | 36 | 52 | 69.1 |
| 60 | 60 | 78 | 76.8 |
| 80 | 72 | 104 | 69.1 |
What each result means
| Result | At default values |
|---|---|
| Items that fitHow many fit when stacked in one orientation. | 36 |
| CountA plain count of items; it often ends up as the denominator. | 52 |
| Fill share (%)The filled share of the total volume. | 69.1 |
Common mistakes
Turning items on their side changes the answer. Swap the three item dimensions around to find the best orientation.
Glossary
- Length
- The measurement across, side to side.
- Width
- The measurement front to back.
- Depth
- How deep it goes.
- Item width
- The width of the item being packed.
- Item depth
- The depth of the item being packed.
- Item height
- The height of the item; laying it down swaps this figure.
- Items that fit
- How many fit when stacked in one orientation.
- Count
- A plain count of items; it often ends up as the denominator.
- Fill share
- The filled share of the total volume.
Frequently asked questions
Q. How is How Many Items Fit in a Box calculated?
Items that fit = ⌊Length ÷ Item width⌋ × ⌊Width ÷ Item depth⌋ × ⌊Depth ÷ Item height⌋ — Round down along each axis and multiply. It always comes out below volume-over-volume, because leftover space cannot be subdivided — and that gap is the fill efficiency shown.
Q. Can you walk through an example?
With Length 40cm, Width 30cm, Depth 25cm, Item width 12cm, Item depth 8cm, Item height 6cm, the answer is Items that fit 36.
Q. What do I need to enter?
Enter Length, Width, Depth, Item width, Item depth, Item height. The result recalculates as you type, and an empty box counts as zero.
Q. How much does the answer move if I change a number?
Changing only Length (cm) moves the answer to Length (cm) 20 → Items that fit 12 and Length (cm) 80 → Items that fit 72. The table below lays out five steps.
Q. How are the numbers rounded?
Money is shown to the nearest whole unit, percentages to one decimal place and everything else to two. What you see is rounded; the calculation itself carries the unrounded value forward.
Q. Anything to watch out for?
Turning items on their side changes the answer. Swap the three item dimensions around to find the best orientation.
Related calculators
Keep your length units consistent across inputs — mixing centimetres and metres throws results far off.