Final answer:
The volume of a 342-gram sample of platinum with a density of 67 g/cm³ is calculated by dividing the mass by the density, which results in a volume of 5.1 cm³.
Step-by-step explanation:
To find the volume of a 342-gram sample of platinum with a given density, we use the formula for volume, which is the mass of the substance divided by its density. The question provides the density of platinum as 67 g/cm3. Using this information, we calculate the volume (V) of platinum as follows:
V = mass / density
V = 342 g / 67 g/cm3
V = 5.1 cm3
Therefore, the volume of a 342 gram sample of platinum with a density of 67 g/cm3 is 5.1 cm3.