Final answer:
To calculate the volume of gold, divide the mass by its density. Given the mass of gold, convert it from kg to grams and then use the formula Volume = Mass / Density to find the volume. Finally, convert the volume from cm³ to kg.
Step-by-step explanation:
The volume of gold can be calculated by dividing the mass of gold by its density.
Given that the density of gold is 19.3 g/cm³, we can use the conversion factor to find the volume.
For example, if the mass of gold is 2.884 kg:
- Convert the mass from kg to grams: 2.884 kg * 1000 g/kg = 2884 g
- Calculate the volume: Volume = Mass / Density = 2884 g / 19.3 g/cm³ = 149.4 cm³
- Convert the volume from cm³ to kg: 149.4 cm³ * 0.001 kg/cm³ = 0.1494 kg
Therefore, the volume of 2.884 kg of gold is approximately 149.4 cm³.