Srinivasa Ramanujan an Indian Mathematical Genius has stated three mathematical identities in his Last Note Book in Mathematics popular as Lost Note Book which was hidden in a Box after his death for more than a half century leads to sum of two cubes in two different ways a problem posed by G.H.Hardy to Ramanujan in a Hospital Bed in England which was a dull taxi cab number to Hardy but was a very interesting Number to Ramanujan is discussed with several proofs.