Question

1. measure: find the mass, volume, and density of each of the three crowns.
2. draw conclusions: which of the three crowns was made of gold? explain:

crown	a	b	c
volume (cm³)	62.5	65.5	61.6
density (g/cm³)	462.5	465.5	461.6

Explanation:

Step1: Recall density formula

The density formula is $
ho=\frac{m}{V}$, where $
ho$ is density, $m$ is mass and $V$ is volume. The density of pure gold is approximately $19.3\ g/cm^{3}$.

Step2: Analyze given densities

Crown A has a density of $462.5\ g/cm^{3}$, Crown B has a density of $465.5\ g/cm^{3}$ and Crown C has a density of $461.6\ g/cm^{3}$.

Step3: Compare with gold density

None of the given densities of the crowns are close to the density of pure gold ($19.3\ g/cm^{3}$). So, none of the three crowns is made of gold.

Answer:

None of the three crowns was made of gold because their densities ($462.5\ g/cm^{3}$, $465.5\ g/cm^{3}$, $461.6\ g/cm^{3}$) are not close to the density of pure - gold ($19.3\ g/cm^{3}$).