# Units of Volume

The fundamental unit for measuring volume is the cubic meter.

There are also other units for measuring large and small quantities of volume:

cubic kilometer | km^{3} |
1,000,000,000 m^{3} |

hectometer cubic | hm^{3} |
1,000,000m^{3} |

decameter cubic | dam^{3} |
1,000 m^{3} |

cubic meter | m^{3} |
1 m^{3} |

cubic decimeter | dm^{3} |
0.001 m^{3} |

cubic centimeter | cm^{3} |
0.000001 m^{3} |

cubic millimeter | mm^{3} |
0.000000001 m^{3} |

Note that each unit is 1,000 times larger than the previous.

Therefore, the problem of converting units to other units becomes an issue of multiplying or dividing the unit by one followed by as many trios of zeros as there are places between them.

1.36 Hm^{3} m^{3}

In this case, multiply (because the Hm^{3} is greater than the m^{3}) the unit by one followed by six zeros, since there are two places between both units.

1.36 · 1,000,000 = 1,360,000 m^{3}

15,000 mm^{3} cm^{3}

In this case, divide (because the mm^{3} is smaller than the cm^{3}) by one followed by three zeros, since there is one place between both units.

15,000 : 1,000 = 15 cm^{3}

#### Examples

## Relationship between Units of Capacity, Volume and Mass

There is a direct relationship between volume and capacity. 1 litre is the capacity that contains a cubic receptacle of 1 dm of space; that is to say, the capacity contained in a volume of 1 dm^{3}.

There is also a relationship between volume and the mass of water. 1 g equals 1 cm³ of pure water at 4° C.

Capacity | Volume | Mass (of water) |
---|---|---|

1 kl | 1 m³ | 1 t |

1 l | 1 dm^{3} |
1 kg |

1 ml | 1 cm³ | 1 g |

#### Examples

Convert to liters:

23.2 m^{3} =

= 23,200 dm^{3} = 13,200 l

0.07 m^{3} =

= 70 dm^{3} = 70 l

5.2 dm^{3} =

= 5.2 l

8,800 cm^{3} =

= 8.8 dm^{3} = 8.8 l