Things in things
How many ping-pong balls fit in a 40-ft shipping container?
About 1.3 million.
That’s a dense-random packing estimate—not an actual loading count.
Approximate modelled estimate
Why this is interesting
How this measurement works
Two very different questions hide inside "how many fit". The first is pure volume: divide the container's interior volume by the volume of one ball. The second is physical packing: identical spheres poured into a box never fill it completely, because curved surfaces always leave gaps between them. Physicists describe randomly poured equal spheres with a dense random packing fraction of roughly 0.64 — a well-established modelling figure, not an exact law of nature. Our published number is the packed estimate, so it is a model, not a count. Nobody poured 1.3 million balls into a container and tallied them.
See the math
- Representative 40-ft container interior volume
- 67.7 m³Reference value
- Table-tennis ball diameter
- 40 mmSource value
- Ideal sphere volume
- ≈33.51 cm³Scaleidoscope calculation
- Pure-volume count (no gaps)
- ≈2.02 millionScaleidoscope calculation
- Dense random sphere packing fraction
- ≈0.64Modelling assumption
- Packed estimate
- ≈1.29 millionScaleidoscope calculation
- Published estimate
- ≈1.3 million balls
About 36% of the container stays empty as void space between the spheres.
How certain is this?
Packing estimate — modelled from a representative container volume and a standard packing assumption, not a physical count.
Dense random packing fraction applied to a reference container interior volume.
Keep going
- Things in thingsA 40-ft shipping container has about the liquid volume of 143,000 Starbucks Grandes.
- Same amountOur reference shipping container has about the liquid volume of 57,000 Stanley 40-oz capacities.
- Measurement trapA “40-foot shipping container” doesn’t have one exact internal volume.
- Wait, what?A container packed with ping-pong balls can still be about 36% empty.
- Measurement trapAn “Olympic-size pool” doesn’t have one universal exact volume.
- Wait, what?A gallon isn’t always a gallon.
