Sure, let's solve this step-by-step using the given information.
We are provided with the density [tex]\(d\)[/tex] and the volume [tex]\(v\)[/tex] of a rock and are asked to find its mass [tex]\(m\)[/tex]. The relevant equation here is:
[tex]\[ d = \frac{m}{v} \][/tex]
Given:
- Density, [tex]\(d = 2 \, \text{g/cm}^3\)[/tex]
- Volume, [tex]\(v = 8 \, \text{cm}^3\)[/tex]
We need to find the mass [tex]\(m\)[/tex]. We can rearrange the equation to solve for [tex]\(m\)[/tex]:
[tex]\[ m = d \times v \][/tex]
Substitute the given values into the equation:
[tex]\[ m = 2 \, \text{g/cm}^3 \times 8 \, \text{cm}^3 \][/tex]
[tex]\[ m = 16 \, \text{g} \][/tex]
Thus, the mass of the rock is [tex]\(16 \, \text{g}\)[/tex].
The correct answer is:
A. [tex]\(16 \, \text{g}\)[/tex]
