To find the surface area of the entire prism, we will add the areas of all its faces.
Given face areas:
- Face A: 9 square units
- Face B: 12 square units
- Face C: 12 square units
- Opposite Face A: 9 square units
- Opposite Face B: 12 square units
- Opposite Face C: 12 square units
Now, we sum the areas of all the faces:
\[ \text{Surface Area} = \text{Area of A} + \text{Area of B} + \text{Area of C} + \text{Area of Opposite A} + \text{Area of Opposite B} + \text{Area of Opposite C} \]
Substituting the values:
\[ \text{Surface Area} = 9 + 12 + 12 + 9 + 12 + 12 \]
Calculating this:
\[ \text{Surface Area} = 9 + 9 + 12 + 12 + 12 + 12 \] \[ \text{Surface Area} = 18 + 48 = 66 \]
Thus, the surface area of the entire prism is 66 square units.