<Tr> <Td_colspan="2"> Location of Louisiana in the United States </Td> </Tr> <P> Cut Off (historically named La Coupe) is a census - designated place (CDP) on the Bayou Lafourche in Lafourche Parish, Louisiana, United States . The population was 5,635 at the 2000 census . It is part of the Houma--Bayou Cane--Thibodaux Metropolitan Statistical Area . Cut Off's ZIP code is 70345, the area code is 985 and local telephone prefixes are 325, 632 and 693 . </P> <P> Cut Off had its start by the building of a canal cutoff at that point to shorten its route . The name was French in origin . </P> <P> Cut Off is located at 29 ° 30 ′ 55" N 90 ° 20 ′ 2" W ﻿ / ﻿ 29.51528 ° N 90.33389 ° W ﻿ / 29.51528; - 90.33389 (29.515201, - 90.333839). </P>

How did cut off louisiana get its name