In general, the volume of the cube is given by the formula below
[tex]V=s^3[/tex]Where s is the length of one of its sides.
Therefore, since the volume is 27c,^3,
[tex]\begin{gathered} V=27 \\ \Rightarrow s=3 \end{gathered}[/tex]Finally, the area of the square base is given by
[tex]A=s^2[/tex]Thus,
[tex]\Rightarrow A=3\cdot3=9[/tex]The answer is 9cm^2