Step-by-step explanation:
To determine the type of rock based on its mass and volume, we can calculate its density by using the formula:
Density = Mass/Volume
Let's calculate the density for each rock sample and compare it to the given density ranges:
1. For the first rock sample with a mass of 1.17 g and a volume of 0.33 cm³:
Density = 1.17 g / 0.33 cm³ ≈ 3.55 g/cm³
The calculated density of 3.55 g/cm³ falls within the density range of the mineral diamond. Therefore, the first rock sample is likely composed of diamond.
2. For the second rock sample with a mass of 2.7 g and a volume of 1.1 cm³:
Density = 2.7 g / 1.1 cm³ ≈ 2.45 g/cm³
The calculated density of 2.45 g/cm³ falls within the density range of common glass. Therefore, the second rock sample is likely composed of common glass.
3. For the third rock sample with a mass of 11.2 g and a volume of 1.9 cm³:
Density = 11.2 g / 1.9 cm³ ≈ 5.89 g/cm³
The calculated density of 5.89 g/cm³ falls within the density range of cubic zirconia. Therefore, the third rock sample is likely composed of cubic zirconia.
To summarize:
1. The first rock sample is likely composed of diamond.
2. The second rock sample is likely composed of common glass.
3. The third rock sample is likely composed of cubic zirconia.
Keep in mind that this is an estimation based on the given density ranges, and there could be other materials with similar densities. Additional tests or analysis might be needed for a more accurate identification of the rock samples.