Answer:
The density of the metal is [tex]12\ gr/cm^3[/tex]
Explanation:
Density
The density of a substance is the mass per unit volume. The density varies with temperature and pressure.
The formula to calculate the density of a substance of mass (m) and volume (V) is:
[tex]\displaystyle \rho=\frac{m}{V}[/tex]
The piece of metal has a mass of m=1200 gr. When the piece of metal is submerged in a measuring cylinder, the water level rises from 150 cm3 to 250 cm3. This means the piece of metal occupies a volume of V=250 cm3-150 cm3=100 cm3.
The density is:
[tex]\displaystyle \rho=\frac{1200}{100}[/tex]
[tex]\rho=12\ gr/cm^3[/tex]
The density of the metal is [tex]\mathbf{12\ gr/cm^3}[/tex]