Answer:
![\boxed {\tt 1.32291667 \ cm^3}](https://img.qammunity.org/2021/formulas/chemistry/high-school/xcyh281ckvv40y4z0xbvxjrrmi9t0b242g.png)
Step-by-step explanation:
Volume can be found by by dividing the mass by the density.
![v=(m)/(d)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/7eejc6w4j2clzrob1kn3a9op6ydjg7d18m.png)
The mass of the solid is 12.7 grams.
The density of the solid is 9.6 grams per cubic centimeter.
![m= 12.7 \ g \\d= 9.6 \ g/cm^3](https://img.qammunity.org/2021/formulas/chemistry/high-school/2qjzo3q13etzpt2dtk2zo4vikdde735dxa.png)
Substitute the values into the formula.
![v=(12.7 \ g)/(9.6 \ g/cm^3)](https://img.qammunity.org/2021/formulas/chemistry/high-school/aaos5uvteexqz662b89xjec4ens3ilocxp.png)
Divide. Note that the grams, or g, will cancel out.
![v=(12.7)/(9.6 \ cm^3)](https://img.qammunity.org/2021/formulas/chemistry/high-school/1ry4rozbst7kjxtn7igfikq5rj5uxa37wd.png)
![v= 1.32291667 \ cm^3](https://img.qammunity.org/2021/formulas/chemistry/high-school/jovut64t05cr01ztrrgcq4rpqpt1ii0m2g.png)
The volume of the solid is 1.32291667 cubic centimeters.