1. **State the problem:** We need to find the amount of paint required to cover all the sides of a triangular prism. This means finding the total surface area of the prism. 2. **Identify the shape and dimensions:** The prism has two triangular bases and three rectangular sides. - Each side of the triangular base is 4 m. - The height of the triangle is 3 m. - The length of the prism (distance between the triangular bases) is 11 m. 3. **Formula for surface area of a triangular prism:** $$\text{Surface Area} = 2 \times \text{Area of triangular base} + \text{Perimeter of base} \times \text{Length}$$ 4. **Calculate the area of the triangular base:** $$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 4 \times 3 = 6 \text{ m}^2$$ 5. **Calculate the perimeter of the triangular base:** Since all sides are 4 m, $$\text{Perimeter} = 4 + 4 + 4 = 12 \text{ m}$$ 6. **Calculate the lateral surface area (rectangular sides):** $$\text{Lateral area} = \text{Perimeter} \times \text{Length} = 12 \times 11 = 132 \text{ m}^2$$ 7. **Calculate total surface area:** $$\text{Surface Area} = 2 \times 6 + 132 = 12 + 132 = 144 \text{ m}^2$$ 8. **Conclusion:** You will need paint to cover 144 square meters of surface area.