Verified Answer :

density is mass / volume so it is 500 / 2.75=181.82 g/cm3

Answer: \(181.82\ g/cm^3\)

Explanation:

Given that the volume of a piece of metal = \(2.75\ cm^3\)

Mass of piece of metal= 500 g

Formula to calculate the density is given by :-

\(\text{Density}=\dfrac{\text{Mass}}{\text{Volume}}\)

Then, the density of piece of metal is given by :-

\(\text{Density of piece of metal}=\dfrac{500}{2.75}\\\\\Rightarrow\ \text{Density}=181.818181818\approx181.82\ g/cm^3\)  [Rounded to the nearest two decimal places.]

Hence, its density of piece of metal= \(181.82\ g/cm^3\)