Themes > Science > Mathematics > About Mathematics, Generalities > Units & Measurement Conversion > Unit Conversion Tables for Volumes

A note on the metric system:
Before you use this table convert to the base measurement first, in that convert centi-meters to meters, convert kilo-grams to grams. In this way, I don't have to list every imaginable combination of metric units.

The notation 1.23E - 4 stands for 1.23 x 10-4 = 0.000123.

 

from \ to = __ feet3 = __ gallons = __ inches3 = __ liters = __ meters3 = __ miles3 = __ pints = __ quarts = __ yards3
foot3   7.480519... 1728 28.31684... 0.02831684... 6.793572E - 12 59.84415... 29.92207... (1/27)
gallon 0.1336805...   231 3.785411... 0.003785411... 9.081685...E - 13 8 4 0.004951131...
inch3 (1/1728) (1/231)   0.01638706... 1.638706...E - 5 3.931465...E - 15 (1/28.875) (1/57.75) (1/46656)
liter 0.03531466... 0.2641720... 61.02374...   (1/1000) 2.399127...E - 13 2.113376... 1.056688... 0.001307950...
meter3 35.31466... 264.1720... 61023.74... 1000   2.399127...E - 10 2113.376... 1056.688... 1.307950...
mile3 1.471979...E + 11 1.101117...E + 12 2.543580E + 14 4.168181...E + 12 4.168181...E + 9   8.808937...E + 12 4.404468...E + 12 5.451776...E + 9
pint 0.01671006... (1/8) 28.875 0.4731764... 4.731764...E - 4 1.135210...E - 13   (1/2) 6.188914...E - 4
quart 0.03342013... (1/4) 57.75 1.056688... 9.463529...E - 4 2.270421...E - 13 2   0.001237782...
yard3 27 201.974... 46656 0.001307950... 0.7645548... 1.834264...E - 10 1615.792... 807.8961...  
 
To use: find the unit to convert from in the left column, and multiply it by the expression under the unit to convert to.
Examples: foot3 = 1728 inches3; 2 feet3 = 2x1728 inches2.

Useful Exact Volume Relationships

fluid ounce = (1/8) cup = (1/16) pint = (1/32) quart = (1/128) gallon
gallon = 128 fluid ounces = 231 inches3 = 8 pints = 4 quarts
quart = 32 fluid ounces = 4 cups = 2 pints = (1/4) gallon
Useful Exact Length Relationships
cup = 8 fluid ounces = (1/2) pint = (1/4) quart = (1/16) gallon
mile = 63360 inches = 5280 feet = 1760 yards
yard = 36 inches = 3 feet = (1/1760) mile
foot = 12 inches = (1/3) yard = (1/5280) mile
pint = 16 fluid ounces = (1/2) quart = (1/8) gallon
inch = 2.54 centimeters = (1/12) foot = (1/36) yard
liter = 1000 centimeters3 = 1 decimeter3 = (1/1000) meter3
Note that when converting volume units:
  1 foot = 12 inches
  (1 foot)3 = (12 inches)3 (cube both sides)
  1 foot3 = 1728 inches3
The linear & volume relationships are not the same!


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