Final answer:
The mass of copper that will occupy 45 cm³ is 401.4 grams. The volume of copper that has a mass of 1.0 kg is approximately 112.107 cm³.
Step-by-step explanation:
The question involves applying the concept of density, which is defined as mass per unit volume, to find the mass and volume for copper. The formula to calculate mass when density and volume are known is:
Mass = Density × Volume
Given that the density of copper is 8.920 g/cm³, to find the mass of copper that will occupy 45 cm³:
Mass = 8.920 g/cm³ × 45 cm³ = 401.4 g
To find the volume of copper that has a mass of 1.0 kg (which is 1000 g), we use the formula:
Volume = Mass / Density
Volume = 1000 g / 8.920 g/cm³ ≈ 112.107 cm³
Thus, the mass of copper that will occupy 45 cm³ is 401.4 grams, and the volume of copper that has a mass of 1.0 kg is approximately 112.107 cm³.