To determine the type of rock the scientist found, we first need to calculate the density of the rock using its mass and volume. The density can be calculated using the formula:
\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]
Given:
- Mass = 72 grams
- Volume = 24 cm³
Calculating the density:
\[ \text{Density} = \frac{72 \text{ g}}{24 \text{ cm}^3} = 3.0 \text{ g/cm}^3 \]
Now we compare this density with the average densities of the rocks listed:
- Shale: 2.0 g/cm³
- Quartzite: 3.0 g/cm³
- Sandstone: 2.5 g/cm³
- Marble: 2.7 g/cm³
- Limestone: 1.2 g/cm³
The calculated density of 3.0 g/cm³ matches the density of Quartzite.
Therefore, the type of rock the scientist found is Quartzite.
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