Final answer:
The density of gold is calculated by dividing mass by volume. Using the provided values, we obtain a density of 0.742 g/cm3, which is anomalous since the known density of gold is approximately 19.3 g/cm3, suggesting a potential error in the given values.
Step-by-step explanation:
To calculate the density of gold, we can use the density formula \(\rho = \frac{m}{V}\), where \(\rho\) represents density, \(m\) is the mass, and \(V\) is the volume. Given the mass of gold as 89g and its volume as 120cm3, we can insert these values into the formula:
\(\rho = \frac{89g}{120cm^3}\)
After doing the division, we find that the density of gold is 0.742 g/cm3, which seems to be incorrect, as we know that the typical density of gold is around 19.3 g/cm3. Thus, there might be a typo or mistake in the provided figures, since we would expect a different result using the known density of gold.