where is the country derived its name from?
Classical Latin "India", a reference to South Asia.
India
Classical Latin "India", a reference to South Asia 
when did the time of the roman empire begin 6th century BC what is the geographical area covered by this empire? Europe, North Africa, and the Middle East what was the common dialect used by the people at that time? Latin and Greek can you mentioned some major cities that developed during that time? Rome, Athens, Aphrodisias, Ephesus etc what is the pax romana? The 200 years that began with Augustus's rule is traditionally regarded as the "Pax Romana" ("Roman Peace"). what was its influence on trade? They traded among themselves, but trade extended outside the frontiers to regions as far away as China and India. the second country bounded by which waterbodies? Indian Ocean, the Arabian Sea and the Bay of Bengal
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India [SEP] Etymology
According to the "Oxford English Dictionary" (third edition 2009), the name "India" is derived from the Classical Latin "India", a reference to South Asia and an uncertain region to its east; and in turn derived successively from: Hellenistic Greek "India" (" Ἰνδία"); ancient Greek "Indos" (" Ἰνδός"); Old Persian "Hindush", an eastern province of the Achaemenid empire; and ultimately its cognate, the Sanskrit "Sindhu", or "river," specifically the Indus river and, by implication, its well-settled southern basin. The ancient Greeks referred to the Indians as "Indoi" (""), which translates as "The people of the Indus". The term "Bharat" (; ), mentioned in both Indian epic poetry and the Constitution of India, is used in its variations by many Indian languages.