<p>Structures in the dual space of Banach spaces have been characterized. The focus has been on density and dentability within norm-attainable classes. However, the relationship between density and dentability has been lacking. In this paper, we provide a comprehensive characterization of the relationship between density and dentability in norm-attainable classes. We prove that a countable dentable class is necessarily dense and separable. Additionally, we specifically prove that a convex dentable function is densely defined. We also show that countable unions and finite intersections of dentable classes are dense in their respective superclasses. This work establishes a strong connection between norm-attainability and optimization problems in convex optimization, providing a concrete application at a deeper level. Moreover, our findings can be valuable in studying the lineability and spaceability of norm-attainable classes.</p>