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Cubic metre

For The Flashbulb album, see M³ (album).

The cubic metre (US spelling: cubic meter, symbol: m³) is the SI derived unit of volume. It is the volume of a cube with edges one metre in length. An alternative name, which allowed a different usage with metric prefixes, was the stère. Another alternative name, not widely used any more, is the kilolitre.

Contents

Conversions

Main article: Unit conversion

1 cubic metre is equivalent to:

  • 1,000 litres (exactly);[1]
  • ~35.3 cubic feet (approximately)
    • 1 cu ft = 0.028316846 m³ (exactly)
  • ~1.31 cubic yards (approximately)
    • 1 cu yd = 0.764554857 m³ (exactly)
  • ~6.29 oil barrels (approximately)
    • 1 oil bbl = 0.158987294 m³ (exactly)

A cubic metre of pure water at the temperature of maximum density (3.98 °C) and standard atmospheric pressure (101.325 kPa) has a mass of 1000 kg, or one tonne. At 0 °C, the freezing point of water, it is slightly less, 999.972 kilograms.

It is sometimes abbreviated to cu m, m3, m^3 or m**3 when superscript characters or markup are not available/accessible (i.e. in some typewritten documents and postings in Usenet newsgroups).

Abbreviated CBM in the freight business and MTQ (or numeric code 49) in international trade.

Multiples and submultiples

Main article: SI prefix

See 1 E-3 m³ for a comparison with other volumes.

Multiples

Cubic decameter
the volume of a cube of side length one decametre (10 m)
equal to a megalitre
1 dam³ = 1,000 m³ = 1 Ml
Cubic hectometre
the volume of a cube of side length one hectometre (100m)
equal to a gigalitre
1 hm³ = 1,000,000 m³ = 1 Gl
Cubic kilometre
the volume of a cube of side length one kilometre (1,000 m)
equal to a petalitre
1 km³ = 1,000,000,000 m³ = 1 Pl

Submultiples

Cubic decimeter
the volume of a cube of side length one decimetre (0.1 m)
equal to a litre
1 dm³ = 0.001 m³ = 1 l
Cubic centimetre[2]
the volume of a cube of side length one centimetre (0.01 m)
equal to a millilitre
1 cm³ = 0.000001 m³ = 1 ml
Cubic millimetre
the volume of a cube of side length one millimetre (0.001 m)
equal to a microlitre
1 mm³ = 0.000000001 m³ = 1 µl

Notes

  1. ^ From 1901 to 1964 the litre was defined as the volume of one kilogram of pure water at 4°C and 760 millimetres of mercury pressure. During this time, a litre was about 1.000028 dm³. In 1964 the original definition was reverted to.
  2. ^ The cubic centimetre is the base unit of volume of the CGS system of units. The colloquial abbreviations "cc" and "ccm" are not SI but are common in some contexts such as cooking, engine displacement and medicine.
SI derived unit cubic metre, from base unit metre Orders of magnitude for volume Conversion of units for volume
1 E-45 m³ = 1 fm³ 1 E-36 m³ = 1 pm³ 1 E-27 m³ = 1 nm³ 1 E-18 m³ = 1 µm³ 1 E-9 m³ = 1 mm³ 1 E0 m³ = 1 m³ 1 E+9 m³ = 1 km³ 1 E+18 m³ = 1 Mm³ 1 E+27 m³ = 1 Gm³ 1 E+36 m³ = 1 Tm³ 1 E+45 m³ = 1 Pm³
10 fm³ 10 pm³ 10 nm³ 10 µm³ 10 mm³ 10 m³ 10 km³ 10 Mm³ 10 Gm³ 10 Tm³ 1 E+50 m³
100 fm³ 100 pm³ 100 nm³ 100 µm³ 100 mm³ 100 m³ 100 km³ 100 Mm³ 100 Gm³ 100 Tm³ 1 E+54 m³ = 1 Em³
1,000 fm³ 1,000 pm³ 1,000 nm³ 1,000 µm³ 1,000 mm³ = 1 cm³ 1,000 m³ = 1 dam³ 1,000 km³ 1,000 Mm³ 1,000 Gm³ 1,000 Tm³ 1 E+60 m³
10,000 fm³ 10,000 pm³ 10,000 nm³ 10,000 µm³ 10,000 mm³ = 10 cm³ 10,000 m³ = 10 dam³ 10,000 km³ 10,000 Mm³ 10,000 Gm³ 10,000 Tm³ 1 E+63 m³ = 1 Zm³
100,000 fm³ 100,000 pm³ 100,000 nm³ 100,000 µm³ 100,000 mm³ = 100 cm³ 100,000 m³ = 100 dam³ 100,000 km³ 100,000 Mm³ 100,000 Gm³ 100,000 Tm³ 1 E+70 m³
1,000,000 fm³ 1,000,000 pm³ 1,000,000 nm³ 1,000,000 µm³ 1,000,000 mm³ = 1 dm³ 1,000,000 m³ = 1 hm³ 1,000,000 km³ 1,000,000 Mm³ 1,000,000 Gm³ 1,000,000 Tm³ 1 E+72 m³ = 1 Ym³
10,000,000 fm³ 10,000,000 pm³ 10,000,000 nm³ 10,000,000 µm³ 10,000,000 mm³ = 10 dm³ 10,000,000 m³ = 10 hm³ 10,000,000 km³ 10,000,000 Mm³ 10,000,000 Gm³ 10,000,000 Tm³ 1 E+80 m³
100,000,000 fm³ 100,000,000 pm³ 100,000,000 nm³ 100,000,000 µm³ 100,000,000 mm³ = 100 dm³ 100,000,000 m³ = 100 hm³ 100,000,000 km³ 100,000,000 Mm³ 100,000,000 Gm³ 100,000,000 Tm³
1 E-6 m³ = 1 cm³ = 1 mL = 1 E-3 L • 1 E-5 m³ = 10 cm³ = 1 cL = 1 E-2 L • 1 E-4 m³ = 100 cm³ = 1 dL = 1 E-1 L • 1 E-3 m³ = 1 dm³ = 1 L = 1 E0 L • 1 E-2 m³ = 10 dm³ = 1 daL = 1 E+1 L • 1 E-1 m³ = 100 dm³ = 1 hL = 1 E+2 L • 1 E0 m³ = 1 m³ = 1 kL = 1 E+3 L
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