Cubic metre

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One cubic metre of concrete (representing the world annual production per inhabitant)
One cubic metre of concrete (representing the world annual production per inhabitant)

The cubic metre (symbol ) is the SI derived unit of volume. It is the volume of a cube with edges one metre in length. In the United States it is spelled cubic meter. An alternate name, which allowed a different usage with SI prefixes, was the stère. Another alternate name, not widely used anymore, is the kilolitre, spelled kiloliter in the United States.

Contents

Main article: Unit conversion

1 cubic metre is equivalent to:

  • 1,000 litres (exactly); 1 litre = 0.001 m³ (exactly)
  • ~35.3 cubic feet (approximately); 1 cubic foot (1 ft³)= 0.028 316 846 592 m³ (exactly)
  • ~1.31 cubic yards (approximately); 1 cubic yard = 0.764 554 857 984 m³ (exactly)
  • ~6.29 oil barrels (approximately); 1 barrel = 0.158 987 294 928 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 kg.

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.

Main article: SI prefix

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

  • A cubic dekametre (dam³) is 1 000 cubic metres, and is equal to the volume of a cube of side length 1 dekametre (10 metres).
  • A cubic hectometre (hm³) is the volume equal to that of a cube of side length 1 hectometre (100 metres). 1 hm³ is 1 000 X 10 6 liters (see Giga litre). 1 000 cubic dekametres is 1 cubic hectometre (hm³) and 1 000 cubic hectometres is 1 cubic kilometre (km³).
  • A cubic kilometre (km³) is the volume equal to that of a cube of side length 1 kilometre.

  • A cubic decimetre (dm³) is the volume of a cube of side length 1 decimetre (0.1 metre). 1 cubic decimetre is equal to 1 litre.
    • From 1901 to 1964 the litre was defined as the volume of 1 kilogram of pure water at 4 degrees Celsius and 760 millimetres of mercury pressure. During this time, a litre was about 1.000028 dm3. In 1964 the original definition was reverted to.
  • A cubic centimetre (cm³) is equal to the volume of a cube with side length of 1 centimetre. It was the base unit of volume of the CGS system of units, and is a legitimate SI unit. It is equal to a millilitre (ml).
    • The colloquial abbreviations cc and ccm are not SI but are common in some contexts. It is a verbal shorthand for "cubic centimetre". For example 'cc' is commonly used for denoting displacement of car and motorbike engines "the Mini Cooper had a 1275 cc engine". In medicine 'cc' is also common, for example "100 cc of blood loss".
  • A cubic millimetre (mm³) is the volume equal to that of a cube with edges of 1 millimetre. It is equal to a microlitre (µl).
SI derived unit cubic metre, from base unit metre Orders of magnitude for volume Conversion of units for volume
1 E-45  =1 fm³ 1 E-36  =1 pm³ 1 E-27  =1 nm³ 1 E-18  =1 µm³ 1 E-9  =1 mm³ 1 E0  =1 m³ 1 E+9  =1 km³ 1 E+18  =1 Mm³ 1 E+27  =1 Gm³ 1 E+36  =1 Tm³ 1 E+45  =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 
100 fm³ 100 pm³ 100 nm³ 100 µm³ 100 mm³ 100 m³ 100 km³ 100 Mm³ 100 Gm³ 100 Tm³ 1 E+54  =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 
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  =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 
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  =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 
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  = 1 cm³ = 1 mL = 1 E-3 L • 1 E-5  = 10 cm³ = 1 cL = 1 E-2 L • 1 E-4  = 100 cm³ = 1 dL = 1 E-1 L • 1 E-3  = 1 dm³ = 1 L = 1 E0 L • 1 E-2  = 10 dm³ = 1 daL = 1E+1L • 1 E-1  = 100 dm³ = 1 hL = 1E+2L • 1 E0  = 1 m³ = 1 kL = 1E+3L

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