Answer: A∩B is an empty set.
A∩B=

OR
A∩B= { }
Explanation:
Given : A = {the sum of the number cubes is odd}
and B = {the sum of the number cubes is divisible by 2}
We know that odd numbers is not divisible by 2 .
Therefore, the both set have no element common.
Thus, their intersection will be an empty set.
A∩B is an empty set.
A∩B=

OR
A∩B= { }