Saturday, 15 November 2014

Unit Conversion Tables for Volumes

A note on the metric system:
Before you use this table, convert to the base measurement first. For example, convert centimeters to meters, kilograms to grams, etc.

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
foot37.480519...172828.31684...0.02831684...6.793572E - 1259.84415...29.92207...(1/27)
gallon0.1336805...2313.785411...0.003785411...9.081685...E - 13840.004951131...
inch3(1/1728)(1/231)0.01638706...1.638706...E - 53.931465...E - 15(1/28.875)(1/57.75)(1/46656)
liter0.03531466...0.2641720...61.02374...(1/1000)2.399127...E - 132.113376...1.056688...0.001307950...
meter335.31466...264.1720...61023.74...10002.399127...E - 102113.376...1056.688...1.307950...
mile31.471979...E + 111.101117...E + 122.543580E + 144.168181...E + 124.168181...E + 98.808937...E + 124.404468...E + 125.451776...E + 9
pint0.01671006...(1/8)28.8750.4731764...4.731764...E - 41.135210...E - 13(1/2)6.188914...E - 4
quart0.03342013...(1/4)57.750.94635...9.463529...E - 42.270421...E - 1320.001237782...
yard327201.974...46656764.555...0.7645548...1.834264...E - 101615.792...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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