, but i gave my dimensions and she said its ok, she added the dimensions which is: 70+32.8+6.4= 109.2 and said its no problem. now im pretty sure thats not how it works, you cant just count the sides and put them together. but then i checked this pdf from lufthansa: https://www.lufthansa.com/mediapool/pdf/68/media_1774488268.pdf and it says that theres no extra fee untill 158cm.
You should be fine. The baggage allowance isn't specifically the 55cm x etc. Basically you add all the dimensions together and it can't exceed 158cm. Technically you could have a pole 158cm long and 1cm wide and it would be technically within the limits. You should be fine as long as it fits in the overhead storage lockers.