Can you elaborate on the time period you mean? I think you mean the Chalcolithic period. It would also help if you could specify which region of the world you are interested in, because Europe's Chalcolithic period and the Mediterranean/Near Eastern Chalcolithic periods were very different.
I have Lionel Casson's Ships and Seamanship in the Ancient World right now on my desk so I can probably help out, but like @kookingpot said, we need more precision regarding the time and the place.
Skin boats, made of sewn hides stretched over a light frame of branches and laced together with cords or things, were some of the first big "ships". Size ranged from light enough to be carried on one's back, to up to 4-5 tons cargo.
"The ancient version that we know best is the quffa, the round coracles of the lower Euphrates." (1)
(for comparison, modern quffas run 13 feet in diameter and 7 1/2 feet deep.) They were manned by four rowers and were big enought to carry a chariot or a load of stone.
Since they are depicted in Assyrian's reliefs of the ninth to the seventh centuries, that's a bit early for you.
(1)Lionel Casson, S&SitAW, pp7-8
Can copper be used for cutting wood? its very soft and would lose its edge very quickly. I would love to see an analysis of what tools were possible during the various ages - stone,copper,bronze,iron, steel and what uses they got out of them. for instance, is a bronze nail possible, or will it bend when driven into any wood. I'll post it as a new question if necessary.