To determine the type of rock the scientist found, we first need to calculate the density of the rock using the formula:
\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]
Given:
- Mass = 72 g
- Volume = 24 cm³
Substituting the values into the formula:
\[ \text{Density} = \frac{72 , \text{g}}{24 , \text{cm}^3} = 3.0 , \text{g/cm}^3 \]
Now, we can compare this calculated density with the average densities of the rocks in the area:
- 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 the rock is 3.0 g/cm³, which matches the density of quartzite.
Therefore, according to the data, the type of rock the scientist found is D. quartzite.