An apparatus and method suitable for performing cutting operations on a product to yield a reduced-size product, for example, slicing, strip-cutting, dicing, shredding, and/or granulating a food product. The apparatus includes a casing, an impeller adapted for rotation within the casing about an axis thereof, and knives that perform, in sequence, slicing, strip-cutting and crosscutting on a product to produce reduced-size products. The apparatus is capable of performing a method by which a product is introduced into the impeller and the impeller is rotated to slice the product with a slicing knife and produce therefrom slices having peaks and valleys on opposite surfaces thereof and a cross-sectional shape that periodically varies in thickness. Strips are then produced from each of the slices by forming parallel cuts, each coinciding with a peak of each slice so that each strip has a width substantially identical to a wavelength of the slice.
