Final answer:
The volume of the copper sample is 23.4 mL and its mass is 208.26 g when the density of copper is 8.9 g/cm³.
Step-by-step explanation:
To find the volume of the copper sample, we need to determine the volume of water displaced when the copper is submerged in the graduated cylinder. The initial volume of the water is 40.0 mL, and when the copper is added, the water level rises to 63.4 mL. Therefore, the volume of the copper sample is the difference in water volumes, which is 63.4 mL - 40.0 mL = 23.4 mL.
To find the mass of the copper sample, we can use the given density of copper, which is 8.9 g/cm³. Since 1 mL is equal to 1 cm³, we can use the volume of the copper sample in cm³. The mass is then calculated by multiplying the volume (23.4 cm³) by the density (8.9 g/cm³): 23.4 cm³ * 8.9 g/cm³ = 208.26 g.