Move 3 lines "from" - do you mean 'remove 3 lines from' - or - move 3 lines to other places? Anyway, this all depends on the layout of the five squares.
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A square has 4 sides therefore 3 squares from 12 toothpicks will simply be three unconnected squares
If at least two of the three lines are parallel, the three lines will not form a triangle.
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If all three lines are parallel, there are zero points of intersection. If all three lines go through a point, there is one point of intersection. If two lines are parallel and the third one crosses them, there are two. If the three lines make a triangle, there are three points.
Six squares make up the surface of a tube.