Rhode Island (USA) is 10 times larger than Cayman Is..
Area: 264 km2 World Factbook
Population: 54,914 (July 2013) World Factbook
The Cayman Islands are a British Overseas Territory in the western Caribbean Sea. The territory comprises the three islands of Grand Cayman, Cayman Brac and Little Cayman, south of Cuba and northwest of Jamaica. Wikipedia
Rhode Island, officially the State of Rhode Island and Providence Plantations, is a state in the New England region of the United States. Rhode Island is the smallest in area, the eighth least populous, but the second most densely populated of the 50 US states behind New Jersey. Wikipedia