Explanation:

To find the surface area of the cube given its volume:

- Volume of a cube formula: \( V = a^3 \), where \( a \) is the side length.

- If the volume is 27 m\(^3\), then \( a^3 = 27 \).

- Solving for \( a \): \( a = \sqrt[3]{27} = 3 \) m.

- Surface area of a cube formula: \( \text{Surface Area} = 6a^2 \).

- Substituting \( a = 3 \) m:

- Surface Area = \( 6 \times (3)^2 \)

- Surface Area = \( 6 \times 9 = 54 \) m\(^2\).

- Option 1: 24 m\(^2\) – Incorrect

- Option 2: 54 m\(^2\) – Correct

- Option 3: 27 m\(^2\) – Incorrect

- Option 4: 9 m\(^2\) – Incorrect