Great question — this trips up a lot of shippers. The short answer is: carriers always use the bounding box (also called the "outline dimensions" or "overall dimensions"), not the actual geometric volume of the item.
Here's the reasoning: when freight is loaded into a container or consolidated cargo hold, it occupies a rectangular block of space regardless of its shape. The space above an L-shaped casting cannot be used by another piece of cargo in practice, so carriers charge for the full envelope.
For your specific pieces:
- Cylindrical drum (60 cm diameter, 90 cm tall): Bounding box = 0.60 × 0.60 × 0.90 = 0.324 CBM. The diameter is both length AND width of the bounding box.
- L-shaped casting (80 × 50 × 40 cm): Even though one corner is cut away, the bounding box is 0.80 × 0.50 × 0.40 = 0.160 CBM. No deduction for the missing corner.
- Tapered crate (100 cm base, 70 cm top, 60 cm tall): Use the maximum dimension at each axis. Bounding box = 1.00 × 1.00 × 0.60 = 0.600 CBM (assuming the taper is symmetric — if only one side tapers, measure that side's max width too).
Ocean LCL vs Air freight: The bounding-box rule applies to both. However, air freight also applies a volumetric weight calculation (CBM × 167 = chargeable weight in kg) and charges whichever is higher — actual weight or volumetric weight. Ocean LCL consolidators typically charge a minimum of 1 CBM or the W/M (weight or measure) rule, whichever yields more revenue.
Pro tip: When in doubt, round up to the next 0.01 CBM. Carriers measure cargo on arrival and will revise your invoice if declared CBM is lower than actual measured CBM.