The question is ambiguous to the extent that a 6metre cube would normally refer to a cube with sides of 6 metres.
If so, six such cubes can be cut, with 864 cubic metres left over.
However, the term can also refer to a cube with a volume of 6 cubic metres, that is, sides of 1.82 metres. You can cut 288 such cubes and have 432 m3 left over.