For integers a and b is $$\left(a^3 + b^3\right)^{\frac{1}{3}}$$ an integer?
I. $$a^3 + b^3$$ is an even integer
II. $$a^3 + b^3$$ is equal to the volume of a box with dimensions 12 cm, 18 cm and 125 cms.

A

If the statement I alone is sufficient to answer the question

B

If the statement II alone is sufficient to answer the question

C

If both the statements I and II are sufficient to answer the question but neither statement alone is not sufficient

D

If both the statements I and II together are not sufficient to answer the question and additional data is required