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A student finds a piece of metal and finds its mass to be 750 g. Through water displacement thestudent determines the volume to be 65.8 cm". Which metal does the student have?

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Metals normally have different densities, so we can try to determine which metal is this by its density.

Assuming it is pure, the density of the metal is its mass divided by its volume:


\begin{gathered} \rho=(m)/(V) \\ \rho=(750g)/(65.8cm^3) \\ \rho\approx11.4g/cm^3 \end{gathered}

Now, we need to look for some table with densities of various metals and see which one has the density we found, 11.4 g/cm³.

Since we don't have one, we can look for one. In it, we can see that the only metal with this density is lead.

So, the metal in the question should be lead.

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