Answer
$3.8\text{ g/cm}^3$
Work Step by Step
To calculate the density of the metal, we need to know the mass and the volume of the sample. We can calculate the volume of the metal using the following formula:
Volume of metal = Final volume of water and metal - Initial volume of water=
21.6 mL - 12.7 m} = 8.9 mL. We know the mass of the metal is 33.42 g, so we can now calculate the density of the metal using the formula:
Density = Mass / Volume = 33.42 g / 8.9 mL = 3.75 g/mL or 3.75 g/cm^3.
Therefore, the density of the metal is 3.8 g/mL or 3.8 g/cm^3.
