To find the mass of an object given its density and volume, we use the formula for density, which is:
[tex]\[ D = \frac{m}{v} \][/tex]
Where:
- [tex]\( D \)[/tex] is the density
- [tex]\( m \)[/tex] is the mass
- [tex]\( v \)[/tex] is the volume
We need to solve for mass ([tex]\( m \)[/tex]), so we rearrange the formula:
[tex]\[ m = D \times v \][/tex]
1. Identify the given values:
- Density ([tex]\( D \)[/tex]) = 0.835 g/cm[tex]\(^3\)[/tex]
- Volume ([tex]\( v \)[/tex]) = 34 cm[tex]\(^3\)[/tex]
2. Substitute the values into the formula:
[tex]\[ m = 0.835 \, \text{g/cm}^3 \times 34 \, \text{cm}^3 \][/tex]
3. Perform the multiplication:
The mass of the object is:
[tex]\[ m \approx 28.39 \, \text{g} \][/tex]
Therefore, the mass of the object is [tex]\( 28.39 \, \text{g} \)[/tex], so the correct answer is [tex]\( 28.39 \, \text{g} \)[/tex].
