If you carve an object, you make it by cutting it out of a substance such as wood or stone. If you carve something such as wood or stone into an object, you make the object by cutting it out.

If you carve writing or a design on an object, you cut it into the surface of the object.

If you carve a piece of cooked meat, you cut slices from it so that you can eat it.

If you carve a career or a niche for yourself, you succeed in getting the career or the position that you want by your own efforts.

If a road is carved through a place, it is built so that it goes through that place.