To determine the type of rock based on its mass and volume, we first need to calculate its density. The density (ρ) is calculated using the formula:
[tex]\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \][/tex]
Given:
- Mass ([tex]\(m\)[/tex]) = 2.7 grams
- Volume ([tex]\(V\)[/tex]) = 1.1 cm³
Substitute these values into the density formula:
[tex]\[ \text{Density} = \frac{2.7 \text{ g}}{1.1 \text{ cm}^3} \][/tex]
Perform the division:
[tex]\[ \text{Density} \approx 2.4545 \text{ g/cm}^3 \][/tex]
Next, we compare the calculated density with the typical densities of common rocks to classify the rock type. Some typical densities of common rocks are:
- Granite: 2.75 g/cm³
- Basalt: 3.0 g/cm³
- Sandstone: 2.2 - 2.8 g/cm³
The calculated density of approximately 2.4545 g/cm³ falls within the range for sandstone (2.2 - 2.8 g/cm³).
Therefore, based on its density, the rock sample is best classified as Sandstone.
