Sure! To find the density of an object, we use the formula [tex]\( d = \frac{m}{v} \)[/tex], where [tex]\( d \)[/tex] is the density, [tex]\( m \)[/tex] is the mass, and [tex]\( v \)[/tex] is the volume.
Given:
- Mass ([tex]\( m \)[/tex]) = 85 grams
- Volume ([tex]\( v \)[/tex]) = 92 cubic centimeters
We need to find the density ([tex]\( d \)[/tex]).
Substitute the provided values into the formula:
[tex]\[
d = \frac{85 \, \text{g}}{92 \, \text{cm}^3}
\][/tex]
Perform the division:
[tex]\[
d = 0.9239130434782609 \, \text{g/cm}^3
\][/tex]
Thus, the density of the object is approximately [tex]\( 0.92 \, \text{g/cm}^3 \)[/tex].
Comparing with the given options:
A. [tex]\( 1.08 \, \text{g/cm}^3 \)[/tex]
B. [tex]\( 177 \, \text{g/cm}^3 \)[/tex]
C. [tex]\( 0.92 \, \text{g/cm}^3 \)[/tex]
D. [tex]\( 7 \, \text{g/cm}^3 \)[/tex]
The correct answer is:
C. [tex]\( 0.92 \, \text{g/cm}^3 \)[/tex]
