Final answer:
The mass of a cerium bar with a volume of 101.9 cm³ and a density of 6.77 g/cm³ is calculated by multiplying the density by the volume, resulting in approximately 689.867 grams.
Step-by-step explanation:
To find the mass of a cerium bar, you use the formula that relates mass (m), density (d), and volume (V), which is m = d × V. In this case, the density (d) of cerium is given as 6.77 g/cm³ and the volume (V) is 101.9 cm³. By substituting these values into the formula, the mass of the cerium bar can be calculated.
Here's the calculation: m = 6.77 g/cm³ × 101.9 cm³. When you multiply the density by the volume, the units of cm³ will cancel out, leaving you with the mass in grams. Therefore, the mass (m) of the cerium bar is approximately 689.867 g.