A solid body can be deformed, while a rigid body cannot, highlighting the key difference between the two. The discussion confirms that a body can indeed be both solid and rigid, with three distinct possibilities: solid and rigid, solid and non-rigid, and rigid and hollow. Examples were suggested but not explicitly provided, with a playful nudge towards thinking of common objects like a football. The conversation emphasizes the importance of understanding the definitions of "solid" and "rigid" to grasp their opposites. Ultimately, the distinction between solid and rigid bodies is essential in physics and engineering contexts.