I watch with baited breath...
Seriously though, the nail varnish remover will melt the cube, but only the very top surface layer, and then only if you are heavy handed.
Don't be a muppet and soak the thing in fluid. That way lies a solid block of plastic, fused together!
If you use just a bit on a cotton bud (don't soak the thing), and keep the pressure light it should be fine. You can even use the dry end of the same bud to soak up the excess fluid.
Work away from the cracks to keep it from going down them.