cubic millimeter
VolumeSection modulusexact by definition
The cubic millimetre is 10⁻⁹ cubic metres, exactly one microlitre. It is the unit of small machined volumes and of material removal rates in cutting, and it is the classical unit of blood cell counts, where "per mm³" and "per μL" are the same denominator.
| 1 (Volume) | 0.000001 |
| 1 (Section modulus) | 1 |
About the cubic millimeter
The most precisely metered volumes in engineering are written in this unit. Diesel fuel injection is calibrated in cubic millimetres per stroke: a passenger-car pilot injection is 1 to 2 mm³ per cylinder, the tiny pre-charge that stops a modern diesel knocking at idle, and injector test benches report their delivery maps in nothing else. A cubic millimetre of water weighs one milligram, so those maps are also, silently, fuel-mass maps.
This page carries a second and stranger job. The same symbol, mm³, serves section modulus on this site, the beam property in that turns a bending moment into a stress. A section modulus is not the volume of anything; it is a second moment of area divided by a distance, and its units merely happen to collapse to a length cubed. The catalog keeps the two as separate quantity types precisely so a converter never offers to express a beam property in microlitres, and a reader who arrived here from a structural steel table should follow the section modulus context rather than this one.
Blood work is the third life the definition already names: counts "per mm³" on older lab forms are identical to the modern per-μL figures, so a 1970s reference range needs no conversion at all, only relabelling.
The cubic millimetre is exactly 10⁻⁹ cubic metres, an exact relation. It pairs naturally with stresses in N/mm², since a moment in newton millimetres divided by a section modulus in mm³ gives a stress in N/mm², which is exactly megapascals with no conversion needed.
One cubic millimeter in every volume unit
| 1 | cubic millimeter (mm³)this unit | |
| 1 | microliter (μL) | |
| 0.001 | milliliter (mL) | |
| 0.001 | cubic centimeter (cm³) | |
| 0.000202884 | US teaspoon (tsp) | |
| 0.0001 | centiliter (cL) | |
| 0.000067628 | US tablespoon (tbsp) | |
| 0.0000610237 | cubic inch (in³) | |
| 0.0000351951 | imperial fluid ounce (imp fl oz) | |
| 0.000033814 | US fluid ounce (fl oz) | |
| 0.00001 | deciliter (dL) | |
| 0.00000422675 | US cup (cup) | |
| 0.00000211338 | US pint (pt) | |
| 0.00000175975 | imperial pint (imp pt) | |
| 0.00000105669 | US quart (qt) | |
| 0.000001 | liter (L) | |
| 0.000001 | cubic decimeter (dm³) | |
| 8.79877e-07 | imperial quart (imp qt) | |
| 4.23776e-07 | board foot (fbm) | |
| 2.64172e-07 | US gallon (gal) | |
| 2.19969e-07 | imperial gallon (imp gal) | |
| 3.53147e-08 | cubic foot (ft³) | |
| 2.83776e-08 | US bushel (bu) | |
| 1.00000e-08 | hectoliter (hL) | |
| 8.52168e-09 | US beer barrel (bbl beer) | |
| 6.28981e-09 | oil barrel (bbl) | |
| 1.30795e-09 | cubic yard (yd³) | |
| 1.00000e-09 | cubic meter (m³) | |
| 1.00000e-09 | kiloliter (kL) | |
| 3.53147e-10 | hundred cubic feet (CCF) | |
| 2.75896e-10 | cord (cord) | |
| 8.10713e-13 | acre-foot (ac·ft) | |
| 2.64172e-13 | million US gallons (MG) | |
| 1.00000e-18 | cubic kilometer (km³) |
One cubic millimeter in every section modulus unit
| 1,000,000,000 | cubic micrometer (μm³) | |
| 1 | cubic millimeter (mm³)this unit | |
| 0.001 | cubic centimeter (cm³) | |
| 0.001 | thousand cubic millimeters (10³ mm³) | |
| 0.0000610237 | cubic inch (in³) | |
| 3.53147e-08 | cubic foot (ft³) | |
| 1.00000e-09 | cubic meter (m³) |