Final answer:
Given the density of copper, the mass of 5 cm³ is calculated by multiplying the density by the volume, resulting in 45 g, and the volume of 63 g is found by dividing the mass by the density, resulting in 7 cm³. Correct answer: a) Mass = 45 g, Volume = 7 cm³.
Step-by-step explanation:
The problem requires understanding the concept of density, which is a measure of how much mass occupies a given volume. The formula to compute mass or volume using density is d = m/v, where d is density, m is mass, and v is volume.
For part (a), to find the mass of 5 cm³ of copper, the volume (5 cm³) is multiplied by the density of copper (9 g/cm³):
Mass = Density × Volume
Mass = 9 g/cm³ × 5 cm³
Mass = 45 g
For part (b), to find the volume of 63 g of copper, the mass (63 g) is divided by the density of copper (9 g/cm³):
Volume = Mass / Density
Volume = 63 g / 9 g/cm³
Volume = 7 cm³
Thus, the correct answer is a) Mass = 45 g, Volume = 7 cm³.