Final answer:
The density of the nugget can be calculated by dividing its mass by its volume. If the calculated density is close to the density of gold, then the nugget could be made of gold.
Step-by-step explanation:
To determine if the nugget could be made of gold, we need to calculate its density.
Density is the mass-to-volume ratio of a substance. We can calculate it using the formula: density = mass/volume.
Given that the nugget displaces 19.3 mL of water and has a mass of 371 grams, we can calculate its density by dividing the mass by the volume. The density of gold is 19.3 g/cm³, so if the density of the nugget is close to that value, it could be made of gold.
Let's calculate the density:
Density = Mass/Volume = 371 g/19.3 mL
Density ≈ 19.2 g/mL
The calculated density of the nugget is very close to the density of gold, suggesting that it could indeed be made of gold.