Answer to Question #131092 in General Chemistry for Fatma

Question

Is it true or false Given 1 L = 1 dm3 and 1 mL = 1 cm3

Answer 1

It's true.

$1 ~m^3$ is equal to 1000 L, so $1~dm^3=10^{-3}~m^3=10^{-3}*1000~L=1~L$

$1~ml=10^{-3}~L=10^{-3}~dm^3=10^{-3}*10^{-3}~m^3=10^{-6}~m^3$

$1~m = 10^2~cm, so~1~m^3=10^6~cm^3$

Finally, $1~ml=10^{-6}~m^3=10^{-6}*10^6~cm^3=1~cm^3$