SmartPeoples Guide

Weights and Measures


Mathematical notations . . . exponents immediately follow the ^ symbol throughout.

________________________________________________________________
Mathematical Power                             Name
________________________________________________________________
10^18 or 1,000,000,000,000,000,000             one quintillion
________________________________________________________________
10^15 or 1,000,000,000,000,000                 one quadrillion
________________________________________________________________
10^12 or 1,000,000,000,000                     one trillion
________________________________________________________________
10^9 or 1,000,000,000                          one billion
________________________________________________________________
10^6 or 1,000,000                              one million
________________________________________________________________
10^3 or 1,000                                  one thousand
________________________________________________________________
10^2 or 100                                    one hundred
________________________________________________________________
10^1 or 10                                     ten
________________________________________________________________
10^0 or 1                                      one
________________________________________________________________
10-^1 or 0.1                                   one-tenth
________________________________________________________________
10-^2 or 0.01                                  one-hundredth
________________________________________________________________
10-^3 or 0.001                                 one-thousandth
________________________________________________________________
10-^6 or 0.000 001                             one-millionth
________________________________________________________________
10-^9 or 0.000 000 001                         one-billionth
________________________________________________________________
10-^12 or 0.000 000 000 001                    one-trillionth
________________________________________________________________
10-^15 or 0.000 000 000 000 001                one-quadrillionth
________________________________________________________________
10-^18 or 0.000 000 000 000 000 00             one-quintillionth
________________________________________________________________


Metric Interrelationships

Conversions from a multiple or submultiple to the basic units of meters, liters, or grams can be done using the table. For example, to convert from kilometers to meters, multiply by 1,000 (9.26 kilometers equals 9,260 meters) or to convert from meters to kilometers, multiply by 0.001 (9,260 meters equals 9.26 kilometers).

________________________________________________________________
Prefix      Symbol         Length, weight,  
                           or capacity         Area         Volume
__________________________________________________________________
exa         E              10^18               10^36        10^54
__________________________________________________________________
peta        P              10^15               10^30        10^45
__________________________________________________________________
tera        T              10^12               10^24        10^36
__________________________________________________________________
giga        G              10^9                10^18        10^27
__________________________________________________________________
mega        M              10^6                10^12        10^18
__________________________________________________________________
hectokilo   hk             10^5                10^10        10^15
__________________________________________________________________
myria       ma             10^4                10^8         10^12
__________________________________________________________________
kilo        k              10^3                10^6         10^9
__________________________________________________________________
hecto       h              10^2                10^4         10^6
__________________________________________________________________
basic unit  -              1 meter,            1 meter^2    1 meter^3
                           1 gram,
                           1 liter
__________________________________________________________________
deci        d              10-^1               10-^2        10-^3
__________________________________________________________________
centi       c              10-^2               10-^4        10-^6
__________________________________________________________________
milli       m              10-^3               10-^6        10-^9
__________________________________________________________________
decimilli   dm             10-^4               10-^8        10-^12
__________________________________________________________________
centimilli  cm             10-^5               10-^10       10-^15
__________________________________________________________________
micro       u              10-^6               10-^12       10-^18
__________________________________________________________________
nano        n              10-^9               10-^18       10-^27
__________________________________________________________________
pico        p              10-^12              10-^24       10-^36
__________________________________________________________________
femto       f              10-^15              10-^30       10-^45
__________________________________________________________________
atto        a              10-^18              10-^36       10-^54
__________________________________________________________________


Equivalents

___________________________________________________________________________
Units                  Metric Equivalent        US Equivalent
                              
___________________________________________________________________________
acre                   0.404 685 64 hectares    43,560 feet^2
___________________________________________________________________________
acre                   4,046,856 4 meters^2     4,840 yards^2
___________________________________________________________________________
acre                   0.004 046 856 4          0.001 562 5 miles^2,
                         kilometers^2             statute
___________________________________________________________________________
are                    100 meters^2             119.599 yards^2
___________________________________________________________________________
barrel 
 (petroleum, US)       158.987 29 liters        42 gallons
___________________________________________________________________________
 (proof spirits, US)   151.416 47 liters        40 gallons
___________________________________________________________________________
 (beer, US)            117.347 77 liters        31 gallons
___________________________________________________________________________
bushel                 35.239 07 liters         4 pecks
___________________________________________________________________________
cable                  219.456 meters           120 fathoms
___________________________________________________________________________
chain (surveyor's)     20.116 8 meters          66 feet
___________________________________________________________________________
cord (wood)            3.624 556 meters^3       128 feet^3
___________________________________________________________________________
cup                    0.236 588 2 liters       8 ounces, liquid (US)
___________________________________________________________________________
degrees, Celsius       (water boils at 100      multiply by 1.8 and add 32 
                        degrees C, freezes at   to obtain degrees F
                        0 degrees C)                                                           
___________________________________________________________________________
degrees, Fahrenheit    subtract 32 and divide   water boils at 212 degrees 
                        by 1.8 to obtain        F, freezes at 32 degrees F) 
                        degrees C
___________________________________________________________________________
dram, avdp.            1.771 845 2 grams        0.0625 5 ounces, avdp.
___________________________________________________________________________
dram, troy             3.887 934 6 grams        0.125 ounces, troy
___________________________________________________________________________
dram, liquid  (US)     3.696 69 milliliters     0.125 ounces, liquid
___________________________________________________________________________
fathom                 1.828 8 meters           6 feet
___________________________________________________________________________
foot                   30.48 centimeters        12 inches
___________________________________________________________________________
foot                   0.304 8 meters           0.333 333 3 yards
___________________________________________________________________________
foot                   0.000 304 8 kilometers   0.000 189 39 miles, statute
___________________________________________________________________________
foot^2                 929.030 4 centimeters^2  144 inches^2
___________________________________________________________________________
foot^2                 0.092 903 04 meters^2    0.111 111 1 yards^2
___________________________________________________________________________
foot^3                 28.316 846 592 liters    7.480 519 gallons
___________________________________________________________________________
foot^3                 0.028 316 847 meters^3   1,728 inches^3
___________________________________________________________________________
furlong                201.168 meters           220 yards
___________________________________________________________________________
gallon, liquid (US)    3.785 411 784 liters     4 quarts, liquid
___________________________________________________________________________
gill (US)              118.294 118 milliliters  4 ounces, liquid
___________________________________________________________________________
grain                  64.798 91 milligrams     0.002 285 71 ounces, avdp.
___________________________________________________________________________
gram                   1,000 milligrams         0.035 273 96 ounces, avdp.
___________________________________________________________________________
hand (height of horse) 10.16 centimeters        4 inches
___________________________________________________________________________
hectare                10,000 meters^2          2.471 053 8 acres
___________________________________________________________________________
hundredweight, long    50.802 345 kilograms     112 pounds, avdp.
___________________________________________________________________________
hundredweight, short   45.359 237 kilograms     100 pounds, avdp.
___________________________________________________________________________
inch                   2.54 centimeters         0.083 333 33 feet
___________________________________________________________________________
inch^2                 6.451 6 centimeters^2    0.006 944 44 feet^2
___________________________________________________________________________
inch^3                 16.387 064 centimeters^3 0.000 578 7 feet^3
___________________________________________________________________________
inch^3                 16.387 064 milliliters   0.029 761 6 pints, dry
___________________________________________________________________________
inch^3                 16.387 064 milliliters   0.034 632 0 pints, liquid
___________________________________________________________________________
kilogram               0.001 tons, metric       2.204 623 pounds, avdp.
___________________________________________________________________________
kilometer              1,000 meters             0.621 371 19 miles, statute
___________________________________________________________________________
kilometer^2            100 hectares             247.105 38 acres
___________________________________________________________________________
kilometer^2            1,000,000 meters^2       0.386 102 16 miles^2,
                                                  statute 
___________________________________________________________________________
knot (1 nautical       1.852 kilometers/hour    1.151 statute miles/hour
  mi/hr)                
___________________________________________________________________________
league, nautical       5.556 kilometers     3 miles, nautical
___________________________________________________________________________
league, statute        4.828.032 kilometers     3 miles, statute 
___________________________________________________________________________
link (surveyor's)      20.116 8 centimeters     7.92 inches 
___________________________________________________________________________
liter                  0.001 meters^3           61.023 74 inches^3
___________________________________________________________________________
liter                  0.1 dekaliter            0.908 083 quarts, dry
___________________________________________________________________________
liter                  1,000 milliliters        1.056 688 quarts, liquid 
___________________________________________________________________________
meter                  100 centimeters          1.093 613 yards
___________________________________________________________________________
meter^2                10,000 centimeters^2     1.195 990 yards^2
___________________________________________________________________________
meter^3                1,000 liters             1.307 951 yards^3
___________________________________________________________________________
micron                 0.000 001 meter          0.000 039 4 inches
___________________________________________________________________________
mil                    0.025 4 millimeters      0.001 inch
___________________________________________________________________________
mile, nautical         1.852 kilometers         1.150 779 4 miles, statute
___________________________________________________________________________
mile^2, nautical       3.429 904 kilometers^2   1.325 miles^2, statute
___________________________________________________________________________
mile, statute          1.609 344 kilometers     5,280 feet or 8 furlongs
___________________________________________________________________________
mile^2, statute        258.998 811 hectares     640 acres or 1 section
___________________________________________________________________________
mile^2, statute        2.589 988 11             0.755 miles^2, nautical  
                         kilometers^2         
___________________________________________________________________________
minim (US)             0.061 611 52 milliliters 0.002 083 33 ounces, liquid
                                                  or one-sixtieth of a dram
___________________________________________________________________________
ounce, avdp.           28.349 523 125 grams     437.5 grains
___________________________________________________________________________
ounce, liquid (US)     29.573 53 milliliters    0.062 5 pints, liquid
___________________________________________________________________________
ounce, troy            31.103 476 8 grams       480 grains
___________________________________________________________________________
pace                   76.2 centimeters         30 inches
___________________________________________________________________________
peck                   8.809 767 5 liters       8 quarts, dry
___________________________________________________________________________
pennyweight            1.555 173 84 grams       24 grains
___________________________________________________________________________
pint, dry (US)         0.550 610 47 liters      0.5 quarts, dry
___________________________________________________________________________
pint, liquid (US)      0.473 176 473 liters     0.5 quarts, liquid
___________________________________________________________________________
point (typographical)  0.351 459 8 millimeters  0.013 837 inches
___________________________________________________________________________
pound, avdp            453.592 37 grams         16 ounces, avdp
___________________________________________________________________________
pound, troy            373.241 721 6 grams      12 ounces, troy
___________________________________________________________________________
quart, dry (US)        1.101 221 liters         2 pints, dry
___________________________________________________________________________
quart, liquid (US)     0.946 352 946 liters     2 pints, liquid
___________________________________________________________________________
quintal                100 kilograms            220.462 26 pounds, avdp.
___________________________________________________________________________
rod                    5.029 2 meters           5.5 yards
___________________________________________________________________________
scruple                1.295 978 2 grams        20 grains
___________________________________________________________________________
section (US)           2.589 988 1 kilometers^2 1 mile^2, statute 
                                                  or 640 acres
___________________________________________________________________________
span                   22.86 centimeters        9 inches
___________________________________________________________________________
stere                  1 meter^3                1.307 95 yards^3
___________________________________________________________________________
tablespoon             14.786 76 milliliters    3 teaspoons
___________________________________________________________________________
teaspoon               4.928 922 milliliters    0.333 333 tablespoons
___________________________________________________________________________
ton, long or           1,016.046 909 kilograms  2,240 pounds, avdp.
  deadweight
___________________________________________________________________________
ton, metric            1,000 kilograms          2,204.623 pounds, avdp.
___________________________________________________________________________
ton, metric            1,000 kilograms          32,150.75 ounces, troy
___________________________________________________________________________
ton, register          2.831 684 7 meters^3     100 feet^3
___________________________________________________________________________
ton, short             907.184 74 kilograms     2,000 pounds, avdp.
___________________________________________________________________________
township (US)          93.239 572 kilometers^2  36 miles^2, statute
___________________________________________________________________________
yard                   0.914 4 meters           3 feet
___________________________________________________________________________
yard^2                 0.836 127 36 meters^2    9 feet^2
___________________________________________________________________________
yard^3                 0.764 554 86 meters^3    27 feet^3
___________________________________________________________________________
yard^3                 764.554 857 984 liters   201.974 gallons
___________________________________________________________________________
Enjoy all your measurements . . . may they be correct !


The home page or directory.

Let us know if we can improve your visit.

Send comments to Frenchie Send Mail

This page is dated January 1999