# Volume

The conversion between two measurements of volume is given by:

where F is the conversion factor given by:

The conversion factor is the relationship between the two volume units, you are converting between. In order to find this relationship both units have to be comparable, that is, they must be converted to the same unit, for instance gal, yd^{3} or m^{3}. It doesn't have to be m^{3} like in the formula above.

The bottom line is, if you just know the given units’ relationships to one specific unit, you will be able to convert between them.

See the tables of the different volume units below.

Example:

You want to convert 15 ft^{3} to in^{3}

1 ft^{3}=0.037037037037 yd^{3}

1 in^{3}=0.000021433470508 yd^{3}

First you calculate the conversion factor:

That is, if you multiply the volume in ft^{3} by 1727.99 you will get it in in^{3}

15 ft^{3} is equal to 25920 in^{3}.

## Converting between dry and liquid units

You can also convert between dry units and liquid unit, as long as you know their equivalence. US liquid gallons and cubic inches is a good link between dry and liquid units, because the exact equivalence of 1 gal is 231 in

^{3}.

For example, you want to convert 3 quarts (US liquid) to in

^{3}.

You know that:

and

The conversion factor is:

Now you can convert the volume to in

^{3}:

So 3 quarts (US liquid) is equal to 173.25 in

^{3}.

## Volume conversion

## Different volume units – metric and US

## Volume - metric units - dry

Unit | 1 cubic kilometer | 1 cubic hectometer | 1 cubic dekameter | 1 cubic meter | 1 cubic decimeter | 1 cubic centimeter | 1 cubic millimeter |

Abbreviation | 1 km^{3} | 1 hm^{3} | 1 dam^{3} | 1 m^{3} | 1 dm^{3} | 1 cm^{3} | 1 mm^{3} |

Cubic meter | 1.000.000.000 m^{3} | 1.000.000 m^{3} | 1.000 m^{3} | 1 m^{3} | 0,001 m^{3} | 0,000001 m^{3} | 0,000000001 m^{3} |

Cubic meter in Powers of 10 | 10^{9} | 10^{6} | 10^{3} | 10^{0} | 10^{-3} | 10^{-6} | 10^{-9} |

Equivalent liquid measure (exact) | 1000000 megaliter | 1000 megaliter | 1000 kl | 1 kl | 1 l | 1 ml | 0.001 ml |

Cubic yard | 1307950619.3 yd^{3} | 1307950.6193 yd^{3} | 1307.9506193 yd^{3} | 1.3079506193 yd^{3} | 0.0013079506 yd^{3} | 0.0000013079506 yd^{3} | 1.3079506193e-9 yd^{3} |

## Volume - metric units - liquid

Unit | 1 kiloliter | 1 hectoliter | 1 dekaliter | 1 liter | 1 deciliter | 1 centiliter | 1 milliliter |

Abbreviation | 1 kl | 1 hl | 1 dal | 1 l | 1 dl | 1 cl | 1 ml |

Liter | 1000 l | 100 l | 10 l | 1 l | 0,1 l | 0,01 l | 0,001 l |

Equivalent dry measure (exact) | 1 m^{3} | 0.1 m^{3} | 0.01 m^{3} | 1 dm^{3} | 100 cm^{3} | 10 cm^{3} | 1 cm^{3} |

US gallon (liquid) | 264.172052 gal | 26.417205 gal | 2.641721 gal | 0.264172 gal | 0.026417 gal | 0.002642 gal | 0.000264 gal |

## Volume - US units - dry

Unit | 1 acre-foot | 1 cubic yard | 1 cubic foot | 1 gallon | 1 quart | 1 pint | 1 cubic inch |

Abbreviation | 1 acre ft | 1 yd^{3} | 1 ft^{3} | 1 gal (US dry) | 1 qt (US dry) | 1 pt (US dry) | 1 in^{3} |

Equivalence to other US dry units (exact) | 43560 ft^{3} | 27 ft^{3} | 1728 in^{3} | 4 qt (US dry) | 2 pt (US dry) | 0.5 qt (US dry) | |

Cubic meter | 1233.481838 m^{3} | 0.764555 m^{3} | 0.028317 m^{3} | 0.004405 m^{3} | 0.001101 m^{3} | 0.000551 m^{3} | 0.000016 m^{3} |

## Volume - US units - Liquid

Unit | 1 hogshead (wine) | 1 barrel | 1 gallon | 1 quart | 1 pint | 1 cup | 1 fluid ounce | 1 tablespoon | 1 tea spoon |

Abbreviation | 1 bbl (US liquid) | 1 gal (US liquid) | 1 qt (US liquid) | 1 pt (US liquid) | 1 cp | 1 fl oz | 1 tbsp | 1 tsp | |

Equivalence to other US liquid units (exact) | 63 gal (US liquid) | 31.5 gal (US liquid) | 4 qt (US liquid) | 2 pt (US liquid) | 2 cp | 8 fl oz | 2 tbsp | 3 tsp | 80 fl min |

Liter | 238.480942 L | 119.240471 L | 3.785412 L | 0.946353 L | 0.473176 L | 0.236588 L | 0.029574 L | 0.014787 L | 0.004929 L |