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The dimensions of the object. Sometimes, the geometry can be too complex to identify the volume. This is where Archimedes principle can be used, that water will displace the equivalent volume of the object which is submerged in it. In this case, only the dimensions of the container need to be known. See related links. Second link on density relates to Archimedes discovery.
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Does the amount of water displaced by an object depend on its mass or its volume?
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The answer will depend on the volume of each counter.
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