• Key Mathematical Equivalents & Relationships

    Useful Exact Volume Relationships

    1 fluid ounce = (1/8) cup = (1/16) pint = (1/32) quart = (1/128) gallon
    1 gallon = 128 fluid ounces = 231 inches3 = 8 pints = 4 quarts
    1 quart = 32 fluid ounces = 4 cups = 2 pints = (1/4) gallon

     

    Useful Exact Length Relationships

    1 cup = 8 fluid ounces = (1/2) pint = (1/4) quart = (1/16) gallon
    1 mile = 63360 inches = 5280 feet = 1760 yards
    1 yard = 36 inches = 3 feet = (1/1760) mile
    1 foot = 12 inches = (1/3) yard = (1/5280) mile
    1 pint = 16 fluid ounces = (1/2) quart = (1/8) gallon
    1 inch = 2.54 centimeters = (1/12) foot = (1/36) yard
    1 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!

    Useful Exact Area & Length Relationships

    acre = (1/640) miles2
    mile = 1760 yards = 5280 feet
    yard = 3 feet = 36 inches
    foot = 12 inches
    inch = 2.54 centimeters

    Note that when converting area units:
    1 foot = 12 inches
    (1 foot)2 = (12 inches)2 (square both sides)
    1 foot2 = 144 inches2
    The linear & area relationships are not the same!