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Volume and density problem

A block of wood half as dense as water floats with half its volume above water. A piece of iron is then tied on top so the wood floats with only 1/4 its volume above surface. If the wood and iron are turned over so that the iron is submerged beneath the wood, then the volume of wood above the water surface will be? Why?

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This solution is provided in an attached .jpg file. It calculates the density of the wood and water, as well as displacement in order to determine percentage of the wood submerged.