A cube has 6 faces. Those 6 faces are squares with side s
Now, the area of one of these squares is:

Thereby, the surface area of the cube would be:

Since we know the surface area of the cube, we can calculate the measurement of its sides:
![\begin{gathered} 96=6s^2 \\ \rightarrow s^2=(96)/(6)\rightarrow s^2=16\rightarrow s=\sqrt[]{16} \\ \Rightarrow s=4 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/b6p5m4n6o7exiz7mqo2mzepb6ausw0ury1.png)
Since we know that the volume of a cube is equal to

We can calculate the volume of the cube:

This way, we can conclude that the volume of the cube is 64 cubic feet
(Answer: Option 1)