An abrasive wheel comprising precisely-shaped abrasive particles retained in an organic binder material, wherein the abrasive wheel comprises two sides contacting a peripheral surface, wherein the abrasive wheel has a rotational axis extending through its center, wherein at least a portion of the precisely-shaped abrasive particles are disposed in the organic binder material according to a predetermined three-dimensional position and orientation, wherein the precisely-shaped abrasive particles comprise a base and a top connected by a plurality of sidewalls, and wherein the respective bases of the shaped abrasive particles are aligned substantially perpendicular to the rotational axis.