Final answer:
The prefrontal cortex is responsible for intellect, cognition, recall, and personality, and is essential for executive functions, working memory, and decision-making.
Step-by-step explanation:
The part of the cerebral cortex involved in intellect, cognition, recall, and personality is the prefrontal cortex. This region, located at the most anterior portion of the frontal lobe, is responsible for various executive functions that contribute to goal-directed behaviors. These functions include facets such as attention, working memory, and judgment, which directly influence one's ability to make decisions, reason abstractly, and shape the personality. Damage to the prefrontal cortex can result in significant changes to an individual's personality, mood, and behavior, illustrating its critical role in these cognitive processes.