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To find the surface area of the triangular prism, we'll break it down into its components. The surface area of a prism is the sum of the areas of all its faces, which include the two triangular bases and three rectangular lateral faces.

### Step-by-step process:

1. **Area of the triangular bases**:
   - The triangle has a base of 18 yd and a height of 24 yd.
   - The area of a triangle is given by:
   \[
   A = \frac{1}{2} \times \text{base} \times \text{height}
   \]
   Substituting the values:
   \[
   A_{\text{triangle}} = \frac{1}{2} \times 18 \, \text{yd} \times 24 \, \text{yd} = 216 \, \text{yd}^2
   \]
   Since there are two triangular bases, their total area is:
   \[
   2 \times 216 = 432 \, \text{yd}^2
   \]

2. **Area of the three rectangular faces**:
   - The three rectangles are formed by the sides of the triangle (18 yd, 24 yd, and 30 yd) and the prism's length (26 yd).
   
   For each rectangular face:
   - Rectangle 1 (with side 18 yd and length 26 yd):
   \[
   A_1 = 18 \, \text{yd} \times 26 \, \text{yd} = 468 \, \text{yd}^2
   \]
   - Rectangle 2 (with side 24 yd and length 26 yd):
   \[
   A_2 = 24 \, \text{yd} \times 26 \, \text{yd} = 624 \, \text{yd}^2
   \]
   - Rectangle 3 (with side 30 yd and length 26 yd):
   \[
   A_3 = 30 \, \text{yd} \times 26 \, \text{yd} = 780 \, \text{yd}^2
   \]
   
   Adding the areas of the three rectangles:
   \[
   A_{\text{rectangles}} = 468 + 624 + 780 = 1872 \, \text{yd}^2
   \]

3. **Total surface area**:
   The total surface area of the prism is the sum of the areas of the two triangular bases and the three rectangular faces:
   \[
   A_{\text{total}} = 432 \, \text{yd}^2 + 1872 \, \text{yd}^2 = 2304 \, \text{yd}^2
   \]

Thus, the total surface area of the triangular prism is **2304 yd²**.

Would you like more details on any step or have any questions?

Here are some related questions to explore:
1. How is the surface area of a rectangular prism different from that of a triangular prism?
2. What is the volume of this triangular prism?
3. How do you calculate the lateral surface area of a prism?
4. How does the surface area change if the length of the prism increases?
5. What are the applications of surface area calculations in real life?

**Tip:** Always ensure that all units are consistent before performing area calculations.

Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.

Learn how to find the surface area of a triangular prism with a detailed step-by-step solution. This problem covers key geometric concepts, including calculating the area of triangles and rectangles. Suitable for students in Grades 7-10.

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