To find the mass of an object given its density and volume, we use the formula for density:
[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
In this problem, the density ([tex]\( d \)[/tex]) of the object is [tex]\( 3.2 \, \text{g/cm}^3 \)[/tex], and the volume ([tex]\( v \)[/tex]) is [tex]\( 5.5 \, \text{cm}^3 \)[/tex]. We need to find the mass [tex]\( m \)[/tex], using the relation [tex]\( d = \frac{m}{v} \)[/tex].
Rearranging the formula to solve for mass ([tex]\( m \)[/tex]):
[tex]\[ m = d \times v \][/tex]
Next, we substitute the given values for density and volume into the equation:
[tex]\[ m = 3.2 \, \text{g/cm}^3 \times 5.5 \, \text{cm}^3 \][/tex]
Perform the multiplication:
[tex]\[ m = 3.2 \times 5.5 \][/tex]
[tex]\[ m = 17.6 \, \text{g} \][/tex]
Hence, the mass of the object is [tex]\( 17.6 \, \text{g} \)[/tex].
Therefore, the correct answer is:
C. [tex]\( 17.6 \, \text{g} \)[/tex].
