What has no volume no shape?

Answer 1

If you are talking about physical objects, there are few objects at subatomic scales that can be considered to have no shape or volume. For example, a singularity at the center of a black hole, not the event horizon but the actual singularity that creates all the effects you see around it, is an infinitely small point in space: no shape or volume (as you will see in the next paragraph).

If you are asking mathematically (geometrically), then the only structure, with both those characteristics, is a point. Whatever the space you choose to use to observe a point in a geometrical point of view, a point is always infinitely small. If it had any shape or volume, then that would imply there would be more points composing it, which would mean it was actually not a point.

A line has no volume, but it does have shape, and everything with limits along more dimensions has volume.