We don’t use cubes, so I don’t know if these folds will help you. I can tell you that the thin socks I wear take up very little space when rolled military style. Try watching videos by Army Gringo
https://youtu.be/uoHN4-0jw6A
and Small Space Organizing
https://youtu.be/fcxzJhBC3oI
Also, I packed & carried all of my kitchen knives by following TSA guidelines. I placed each knife in a sheath (I bought the sheaths from Amazon) & then put them in protective neoprene cases. The reason for this is so the people who check the luggage don’t get cut while searching through your stuff. And wouldn’t you know that in Mexico they checked the suitcase that had my knives in it. They asked if we had a restaurant, & my husband had to explain that we’re in the process of moving.
Remember that the weight limit for check-in bags is 50 lbs.