# Math2.org Math Tables: Unit Conversion Tables for Volumes

(Math)

Preliminaty note:
Before you use this table, convert to the base measurement first. For example, convert centimeters to meters, or convert kilograms to grams. In this way, I don't have to list every imaginable combination of metric units.

from \ to = __ feet3 = __ gallons (US) = __ inches3 = __ liters = __ meters3 = __ pints = __ quarts = __ yards3
foot3   7.480519... 1728 28.31684... 0.02831684... 59.84415... 29.92207... 1/27
gallon (US) 0.1336805...   231 3.785411... 0.003785411... 8 4 0.004951131...
inch3 1/1728 1/231   0.01638706... 1.638706...E-5 1/28.875 1/57.75 1/46656
liter 0.03531466... 0.2641720... 61.02374...   1/1000 2.113376... 1.056688... 0.001307950...
meter3 35.31466... 264.1720... 61023.74... 1000   2113.376... 1056.688... 1.307950...
pint 0.01671006... 1/8 28.875 0.4731764... 4.731764...E-4   1/2 6.188914...E-4
quart 0.03342013... 1/4 57.75 0.946352... 9.463529...E-4 2   0.001237782...
yard3 27 201.974... 46656 764.554... 0.7645548... 1615.792... 807.8961...

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

Usage: 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 (US)
gallon (US) = 128 fluid ounces = 231 inches3 = 8 pints = 4 quarts
quart = 32 fluid ounces = 4 cups = 2 pints = (1/4) gallon (US)

## Useful Exact Length Relationships

cup = 8 fluid ounces = (1/2) pint = (1/4) quart = (1/16) gallon (US)
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 (US)
inch = 2.54 centimeters = (1/12) foot = (1/36) yard
liter = 1000 centimeters3 = 1 decimeter3 = (1/1000) meter3

## Hints

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!