A geologist is investigating the density of various rough gemstone specimens to determine their authenticity.
Table 1 shows the density of some common minerals.
| Mineral | Density in g/cm3\text{g/cm}^3g/cm3 |
|---|---|
| Quartz | 2.65 |
| Aquamarine | 2.68 |
| Topaz | 3.55 |
| Sapphire | 4.00 |
The geologist determined the volume of each specimen using a displacement method with a graduated cylinder. What other piece of equipment would the geologist need to determine the density of each specimen?
Write down the equation which links density (ρ\rhoρ), mass (mmm), and volume (VVV).
A specific rough topaz specimen has a mass of 24.85 g. The density of topaz is 3.55 g/cm3. Calculate the volume of this topaz specimen. Give your answer in cm3\text{cm}^3cm3.
The geologist only measured the volume of each gemstone specimen once. Explain why these measurements cannot be used to show that the method gives precise readings.