A piece of a metal alloy with a mass of 114 g was placed into a graduated cylinder that contained 25.0 mL of water, raising the water level to 42.5 mL. What is the density of the metal?

6510 kg/m³

Explanation:

Density = Mass / Volume

D = m/V

Where m = mass of the metal alloy, V = volume of the metal alloy

From Archimedes's principle,

volume of water displace = volume of the metal alloy.

Volume of water displaced = 42.5 - 25.0 mL = 17.5 mL.

Given : m = 114 g = 0.114 kg, V = 17.5 mL = 17.5*10⁻⁶ m³.

Substitute into equation 1

D = 0.114 / (17.5*10⁻⁶)

D = 6.51*10³

D = 6510 kg/m³

Hence the density of the metal = 6510 kg/m³