Sorry, no.

it would be a variation of a rhombus

No, I'll give you a hint.


^ That.

Okay times up.

The cut surface would have the outline shape of a regular hexagon.
The cut explained in the mind-bender goes through all six sides of the cube, and therefore has six sides on the cut surface, making a hexagon.
Don't believe me? Try it!!!

i tried it and it made a rhombus

You balanced it on one of its points then cut it in half with a cut parallel to the floor?