A 10 or 12-yard dumpster filled with concrete is the maximum size that can be hauled, weighing approximately 10-12 tons. Larger dumpsters cannot be filled with concrete due to weight limits.

For a 20-yard dumpster, you can only fill it about 1/2 full with concrete before hitting the 10-ton weight limit.

For a 30-yard dumpster, you can only fill it about 1/3 full with concrete due to the 10-ton weight limit.

1 cubic yard of concrete weighs around 4,000 lbs.  So a 10-yard dumpster can hold approximately 2.5 cubic yards of solid concrete at the maximum 10-ton limit.