Well, the kind of wood doesn't really matter much. 0.1 mm is not a lot believe me ! household aluminium foil is generally 0.016 mm. seriously 0.1 is not very much. i have a copper foil that I recently bought, it is 0.1 mm in thickness and really that's thick.
well let's specify the material, say wax. yes wax, you can easily cut it. wood cutting is also possible, though a little harder than wax. so material is wood/wax/clay. clay is also easily cuttable.
but since you are on island you don't have a knife or any other modern day tool. on island you have sand, soil (basily clay), trees (wood), wax and stones around. how would you make a 10cm X 7cm X 3cm cuboid and 5cm diameter X 17cm long cylinder out of wood ?
I hope I can make myself clear about the question
we take the precisin and accuracy we have for granted and I really wonder how humans before us made this ?