1. **State the problem:** We need to find the total area of the two shaded faces of a cuboid with dimensions 7 cm (height), 9 cm (width), and 12 cm (length). The shaded faces are the front face (7 cm by 9 cm) and the right side face (7 cm by 12 cm). 2. **Formula for area of a rectangle:** The area $A$ of a rectangle is given by $$A = \text{length} \times \text{width}$$ 3. **Calculate the area of the front face:** $$A_1 = 7 \times 9 = 63 \text{ cm}^2$$ 4. **Calculate the area of the right side face:** $$A_2 = 7 \times 12 = 84 \text{ cm}^2$$ 5. **Find the total area of the two shaded faces:** $$A_{total} = A_1 + A_2 = 63 + 84 = 147 \text{ cm}^2$$ 6. **Final answer:** The total area of the two shaded faces is $147$ square centimeters.