alvindavis99

CIP School in the Phils.

General Math: Units and Measurements Conversion

on August 23, 2012

 

English: Four metric measuring devices - a tap...

English: Four metric measuring devices – a tape measure, a thermometer, a one kilogram weight and an electrical multimeter. These instruments were selected to show some of the units of measure that are “metric units” (Photo credit: Wikipedia)

Unit Conversion Tables for Lengths & Distances

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

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

from \ to = __ feet = __ inches = __ meters = __ miles = __ yards
foot   12 0.3048 (1/5280) (1/3)
inch (1/12)   0.0254 (1/63360) (1/36)
meter 3.280839… 39.37007…   6.213711…E – 4 1.093613…
mile 5280 63360 1609.344   1760
yard 3 36 0.9144 (1/1760)  

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: foot = 12 inches; 2 feet = 2×12inches.

Useful Exact Length Relationships

mile = 1760 yards = 5280 feet
yard = 3 feet = 36 inches
foot = 12 inches
inch = 2.54 centimeters

Unit Conversion Tables for Areas

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

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

from \ to = __ acres = __ feet2 = __ inches2 = __ meters2 = __ miles2 = __ yards2
acre   43560 6272640 4046.856… (1/640) 4840
foot2 (1/43560)   144 0.09290304 (1/27878400) (1/9)
inch2 (1/6272640) (1/144)   6.4516E – 4 2.490977E – 10 (1/1296)
meter2 2.471054…E – 4 10.76391… 1550.0031   3.861021…E – 7 1.195990…
mile2 640 27878400 4.0145E + 9 2.589988…E + 6   3097600
yard2 (1/4840) 9 1296 0.83612736 3.228305…E – 7  

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: foot2 = 144 inches2; 2 feet2 = 2×144 inches2.

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!

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
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 0.94635… 9.463529…E – 4 2.270421…E – 13 2   0.001237782…
yard3 27 201.974… 46656 764.555… 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 = 2×1728 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!

  Metric Prefix Table

Number Prefix Symbol
10 1 deka- da
10 2 hecto- h
10 3 kilo- k
10 6 mega- M
10 9 giga- G
10 12 tera- T
10 15 peta- P
10 18 exa- E
10 21 zeta- Z
10 24 yotta- Y
Number Prefix Symbol
10 -1 deci- d
10 -2 centi- c
10 -3 milli- m
10 -6 micro-  
10 -9 nano- n
10 -12 pico- p
10 -15 femto- f
10 -18 atto- a
10 -21 zepto- z
10 -24 yocto- y
Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s

%d bloggers like this: