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

A shipping container is a big box, and a table-tennis ball is a small sphere. The gap between those two scales is where the number gets strange — and where the answer depends on how you model the packing.

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.

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