A square piece of paper is folded in half several times as follows:
(You are left with a folded up paper that is of the area and times the thickness of the original)
Then the paper is cut through the middle vertically and unfolded.
Into how many pieces is the original piece of paper cut?
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Since the cut is vertical, folding top half down does nothing. The only fold that matters is left to right. The cut then separates the two ends, now both on the right, from the middle, now left, leaving three pieces.