Answer
$ 1 cm ^3 = 1 mL$
Work Step by Step
We know that 1 L is 1/1,000 of a cubic meter, as defined in the textbook.
$ 1 cm^3 = (1/100)^3m^3$
$ 1cm ^3 = 1*10^{-6} m^3$
Thus, we see that the cubic centimeter is 1/1,000,000 of a cubic meter, which differs from a liter by a factor of $10^-3$. We use the prefix mili for $10^{-3}$. Thus, $ 1 cm ^3 = 1 mL$