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This question can't be answered unless the units of mass and volume are known. Dividing mass by volume reveals density, and that may help to zero in on the answer, but if these units are g and ml we're looking at a density of 200+. Don't know of any metals that high. If the volume should be .382 ml and the mass 7.78 g then you're getting close to osmium.

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Q: What metal has a 7.78 mass and .0382 volume?
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