A cube has 6 faces. Those 6 faces are squares with side s
Now, the area of one of these squares is:
[tex]s^2[/tex]
Thereby, the surface area of the cube would be:
[tex]6\cdot s^2[/tex]
Since we know the surface area of the cube, we can calculate the measurement of its sides:
[tex]\begin{gathered} 96=6s^2 \\ \rightarrow s^2=\frac{96}{6}\rightarrow s^2=16\rightarrow s=\sqrt[]{16} \\ \Rightarrow s=4 \end{gathered}[/tex]
Since we know that the volume of a cube is equal to
[tex]s^3[/tex]
We can calculate the volume of the cube:
[tex]\begin{gathered} V=4^{3^{}} \\ \Rightarrow V=64 \end{gathered}[/tex]
This way, we can conclude that the volume of the cube is 64 cubic feet
(Answer: Option 1)
