Final answer:
Max cut 20 pieces of cake.
Step-by-step explanation:
To find out how many pieces of cake Max cut, we first need to calculate how much cake he ate. Max ate 1/3 of the 5 kg cake, which is 1/3 * 5 kg = 5/3 kg. The remaining cake is 5 kg - 5/3 kg = 10/3 kg. We can then divide the remaining cake into pieces of 1/6 kg each. So, the number of pieces of cake Max cut is (10/3 kg) / (1/6 kg) = 20 pieces.