I'm guessing you're a little confused in the measurements you've given, and that you mean 11.4 square metres, and the flooring is 2400mm x 600mm?
To give an exact answer - and assuming you don't want little offcuts on the floor in places - can you tell us how long the room is x how wide?
I guess that with the 600mm width, you are laying some type of fabricated imitation floorboard.
8 sheets will cover 11.52 square metres but doesn't leave much for matching patterns. Best to get 9 sheets with the proviso that you can return one sheet if you don't need it.