Final answer:
The mass of a cube of copper with a volume of 74.1 cm³ is calculated by multiplying the density of copper (8.96 g/cm³) by the volume. The mass is approximately 664.256 grams.
Step-by-step explanation:
To calculate the mass of a copper cube with a volume of 74.1 cm³, we need to use the density of copper, which is 8.96 g/cm³. The mass of an object is the product of its density and volume. The formula to find the mass (m) is:
m = density × volume
For copper:
m = 8.96 g/cm³ × 74.1 cm³
Now, perform the multiplication:
m = 664.256 g
The mass of the copper cube is therefore approximately 664.256 grams. To provide a more precise answer, and depending on the significant figures rules you are adhering to, you might want to round this number to the appropriate number of significant digits.