Cavity design is defined as a structure consisting of a floor and four walls, with three main types: smooth surface, root, and pit and fissure cavities. G.V. Black's classification outlines various classes of cavities and restorations, specifying the nature and preparation of each type, including Class 1 to Class 6 based on their locations and characteristics. Proper cavity preparation techniques are emphasized for each class to ensure resistance to fractures and preservation of tooth structure.