How many cm^3 are contained in 3.77 * 10^4 mm^3?
I think I have the answer but I need to know how to set it up correctly…
1 cm = 10 mm… right?
3.77×10^4 mm³ x (1 cm / 10 mm)³ = 37.7 cm³
read my answer to this problem…
it explains the math.. which is called “factor label method” or “dimensional analysis” in some groups.
Easiest way to remember is that you move the decimal the unit difference x the power. So it this case, 1 x 3. So the answer is 3.77E1 or 37.7 cm^3.
Another example would be if you were converting the same to m^3 instead. mm to cm to dm to m, so it is a decimal move of 3 x 3 or 9, or 3.77E-5.
Hope this helps.
You know that 1cm/10mm, so cubing that gives a conversion factor of 1cm^3/1000mm^3.
3.77×10^4mm^3 x 1cm^3/1000mm^3 = 37.7 cm^3