A cubic shipping carton's dimensions measure \(2 \mathrm{~m} \times 2 \mathrm{~m} \times 2 \mathrm{~m}\). A company wants to fill the carton with smaller cubic boxes that measure \(10 \mathrm{~cm} \times 10 \mathrm{~cm} \times 10 \mathrm{~cm}\). How many of the smaller boxes will fit in each shipping carton?