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# What analysis do you do when you look at units to decide which conversion factors to use?

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## Related Questions

###### Asked in Factoring and Multiples

### In the table form give the most common conversion factors?

There are thousands of conversion factors and it is not possible
to list them all.
There are over 30 units of length listed in Wikipedia "unit of
length" - some are more common than others but most are in use. The
count does not include the 20 or so SI prefices (milli, centi, kilo
etc), making around 50 units in all.
Each pair of measurement units will have two conversion factor:
from A to B and from B to A. So just lengths will give rise to
approx 50*50 (or 2500) conversion factors. Then there are measures
for area, volume, mass, weight, force, work, ...

###### Asked in Math and Arithmetic, Chemistry

### How do you know which unit at a conversion factor must be in the denominator?

The unit itself isn't important, because dimensional analysis
works on the principle that multiplying a number by 1 leaves it
unchanged. In this case, the conversion factor simply acts as the
"1", or equivalent or what you're trying to convert but with
different units. As a general way of thinking about this, the
denominator unit should just be able to cancel itself out so that
you get a new unit which would be the numerator. To do this, the
conversion factor should be multiplied by the unit in its
denominator. For example, if you know that a substance is 1 gram
per cubic centimeter, you'll multiply it by a conversion factor
which has grams in the denominator. When the units in a denominator
multiply by the units of a numerator, they cancel out so your new
answer is in cubic centimeters. You can also flip the conversion
factors around to make it work, based on the values of the units
that you know.

###### Asked in Units of Measure

### How many cc in 14 grams?

###### Asked in Math and Arithmetic

### How many cm are in an area of 4.21 in?

This question is impossible to answer because it is
inconsistent.
The units that are mentioned in the question, centimetre and
inch, are both linear measures. That is, they are measures of
length or distance.
However, the question refers to the area. The conversion factor
for an area is the square of the conversion factor for an area.
Decide which of the two conversions you want and use one of the
following conversion factors:
1 inch = 2.54 cm
1 sq inch = 6.45 cm2 (to 2 dp)

###### Asked in Fluid Dynamics, Statics

### Is 108 a constant for volume?

Since volume is an extensive property, there is no particular
constant associated with it - indeed, by virtue of being an
extensive property, it is not constant unless the mass,
temperature, pressure, phase, and composition remain constant.
There are, of course, conversion factors between different
volume units - and the conversion factors are constants.