Convert among mass density values along with mass concentration values; (mass divided by volume).
Ounces and pounds are avoirdupois, the standard everyday system in the United States where 1 ounce = 1/16 pound
Conversions are performed by using a conversion factor. By knowing the conversion factor, converting between units can become a simple multiplication problem:
S * C = E
Where S is our starting value, C is our conversion factor, and E is our end converted result.
To simply convert from any unit into kg/m3, for example, from 50 lb/ft3, just multiply by the value in the right column in the table below.
50 lb/ft3 * 16.018463 [ (kg/m3) / (lb/ft3) ] = 800.92315 kg/m3
To convert from kg/m3 into units in the left column divide by the value in the right column or, multiply by the reciprocal, 1/x.
800.92315 kg/m3 / 16.018463 [ (kg/m3) / (lb/ft3) ] = 50 lb/ft3
To convert among any units in the left column, say from A to B, you can multiply by the factor for A to convert A into kg/m3 then divide by the factor for B to convert out of kg/m3. Or, you can find the single factor you need by dividing the A factor by the B factor.
For example, to convert from lb/ft3 to g/mL you would multiply by 16.018463 then divide by 1000. Or, multiply by 16.018463/1000 = 0.016018463. So, to convert directly from lb/ft3 to g/mL you multiply by 0.016018463.
To understand how to also convert the units follow this example. Say you want to convert from lb/ft3 to lb/in3. You want to convert the foot to inches. Since you can multiply anything by 1 and still retain the original value, but in different units, set it up so that ft3 will cancel out leaving you with in3.
Since:
1 ft = 12 in, 1 ft / 12 in = 1We can write the conversion as:
1 lb/ft3 = 1 lb/ft3 * (1 ft / 12 in)3 = 1 lb/ft3 * (1 ft3 / 1728 in3) = 5.787037e-04 lb/in3And we now have our factor for conversion from lb/ft3 to lb/in3 since 1 * 5.787037e-04 = 5.787037e-04.
Knowing that 1 lb/ft3 = 5.787037e-04 lb/in3 we can now find the conversion factor for converting back. Dividing both sides of the equation by 5.787037e-04 we get 1728 lb/ft3 = 1 lb/in3. So, the conversion factor to multiply by to convert from lb/in3 to lb/ft3 is 1728.
| To Convert from Unit |
Unit Symbol |
and Convert to ( kg/m3 ) |
Multiply by ( kg/m3 / Unit ) |
|---|---|---|---|
| gram per cubic centimeter | g/cm3 | kilogram per cubic meter | 1000 |
| kilogram per cubic centimeter | kg/cm3 | kilogram per cubic meter | 1000000 |
| gram per cubic meter | g/m3 | kilogram per cubic meter | 0.001 |
| kilogram per cubic meter | kg/m3 | kilogram per cubic meter | 1 |
| gram per milliliter | g/mL | kilogram per cubic meter | 1000 |
| gram per liter | g/L | kilogram per cubic meter | 1 |
| kilogram per liter | kg/L | kilogram per cubic meter | 1000 |
| ounce per cubic inch | oz/in3 | kilogram per cubic meter | 1729.994 |
| ounce per cubic foot | oz/ft3 | kilogram per cubic meter | 1.001153 |
| pound per cubic inch | lb/in3 | kilogram per cubic meter | 27679.90471 |
| pound per cubic foot | lb/ft3 | kilogram per cubic meter | 16.018463 |
| ounce per gallon (Imperial) | oz/gal | kilogram per cubic meter | 6.236023 |
| ounce per gallon (U.S. fluid) | oz/gal | kilogram per cubic meter | 7.489151 |
| pound per gallon (Imperial) | lb/gal | kilogram per cubic meter | 99.776372 |
| pound per gallon (U.S. fluid) | lb/gal | kilogram per cubic meter | 119.826 |
| slug per cubic foot | slug/ft3 | kilogram per cubic meter | 515.3788184 |
| ton per cubic yard (long) | l ton/yd3 | kilogram per cubic meter | 1328.939 |
| ton per cubic yard (short) | sh ton/yd3 | kilogram per cubic meter | 1186.553 |
The National Institute of Standards and Technology (NIST) - The NIST Guide for the use of the International System of Units - Appendix B, subsections B.8 Factors for Units Listed Alphabetically and B.9 Factors for units listed by kind of quantity or field of science.
Lide, David R., Daniel (Editor-in-Chief). CRC Handbook of Chemistry and Physics, 89th Edition New York, NY: CRC Press, p. 1-28, 2008.
Wikipedia contributors. "Conversion of units" Wikipedia, The Free Encyclopedia. Wikipedia, The Free Encyclopedia, last visited 26 Jun. 2011.