# 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, yd3 or m3. It doesn't have to be m3 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 ft3 to in3

1 ft3=0.037037037037 yd3

1 in3=0.000021433470508 yd3

First you calculate the conversion factor:

That is, if you multiply the volume in ft3 by 1727.99 you will get it in in3

15 ft3 is equal to 25920 in3.

## 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 in3.

For example, you want to convert 3 quarts (US liquid) to in3.

You know that:

and

The conversion factor is:

Now you can convert the volume to in3:

So 3 quarts (US liquid) is equal to 173.25 in3.

## Volume conversion

 From volume: From unit: km³hm³dam³m³dm³cm³mm³acre ftyd³ft³gal (US dry)qt (US dry)pt (US dry)in³klhldalldlclmlhogshead (wine)bbl (US liquid)gal (US liquid)qt (US liquid)pt (US liquid)cpfl oztbsptsp To unit: km³hm³dam³m³dm³cm³mm³acre ftyd³ft³gal (US dry)qt (US dry)pt (US dry)in³klhldalldlclmlhogshead (wine)bbl (US liquid)gal (US liquid)qt (US liquid)pt (US liquid)cpfl oztbsptsp

## 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 km3 1 hm3 1 dam3 1 m3 1 dm3 1 cm3 1 mm3 Cubic meter 1.000.000.000 m3 1.000.000 m3 1.000 m3 1 m3 0,001 m3 0,000001 m3 0,000000001 m3 Cubic meter inPowers of 10 109 106 103 100 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 yd3 1307950.6193 yd3 1307.9506193 yd3 1.3079506193 yd3 0.0013079506 yd3 0.0000013079506 yd3 1.3079506193e-9 yd3

## 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 m3 0.1 m3 0.01 m3 1 dm3 100 cm3 10 cm3 1 cm3 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 yd3 1 ft3 1 gal (US dry) 1 qt (US dry) 1 pt (US dry) 1 in3 Equivalence to otherUS dry units (exact) 43560 ft3 27 ft3 1728 in3 4 qt (US dry) 2 pt (US dry) 0.5 qt (US dry) Cubic meter 1233.481838 m3 0.764555 m3 0.028317 m3 0.004405 m3 0.001101 m3 0.000551 m3 0.000016 m3

## 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 otherUS 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