Cuenca is one of the five provinces of the autonomous community of Castilla-La Mancha. It is located in the eastern part of this autonomo…Cuenca is one of the five provinces of the autonomous community of Castilla-La Mancha. It is located in the eastern part of this autonomous community and covers 17,141 square km. It has a population of 203,841 inhabitants – the least populated of the five provinces. Its capital city is also called Cuenca.