Final answer:
The Yucatan Channel is the body of water that runs between Cuba and Mexico, linking the Caribbean Sea to the Gulf of Mexico.
Step-by-step explanation:
The channel that runs between Cuba and Mexico is known as the Yucatan Channel. This body of water connects the Caribbean Sea with the Gulf of Mexico. Cuba is an island nation located south of the United States and east of Mexico, while the Yucatan Peninsula protrudes into the Gulf of Mexico from Mexico's southeastern part.