The surface area of a triangular prism can be calculated by finding the areas of the two triangular bases and the three rectangular faces.
The formula for the surface area of a triangular prism is:
Surface Area = 2*(Area of base) + (Perimeter of base)*height
First, calculate the area of the triangular base:
Area of triangle = 1/2 * base * height
Area of triangle = 1/2 * 3.6 * 3.6
Area of triangle = 6.48 m2
Next, calculate the perimeter of the triangular base:
Perimeter of triangle = 3.6 + 3.6 + 5.1
Perimeter of triangle = 12.3 meters
Now, calculate the surface area of the two triangular bases:
2*(Area of base) = 2 * 6.48
2*(Area of base) = 12.96 m2
Calculate the surface area of the three rectangular faces:
Area of rectangle = length * width
Area of rectangle = 5.1 * 0.44
Area of rectangle = 2.244 m2
Now, calculate the total surface area of the triangular prism:
Surface Area = 12.96 + 2 * 2.244
Surface Area = 12.96 + 4.488
Surface Area = 17.448 m2
Therefore, the correct answer is 17.448 m2.