To find the surface area of a triangular prism, you need to calculate the areas of the three rectangular faces and the two triangular faces.
For the rectangular faces:
- Area = length x width
Rectangle 1: 12 yd. x 5 yd. = 60 sq. yd.
Rectangle 2: 13 yd. x 5 yd. = 65 sq. yd.
Rectangle 3: 11 yd. x 5 yd. = 55 sq. yd.
For the triangular faces:
- Area = (1/2) x base x height
Triangle 1 (base = 12 yd., height = 11 yd.): (1/2) x 12 yd. x 11 yd. = 66 sq. yd.
Triangle 2 (base = 13 yd., height = 5 yd.): (1/2) x 13 yd. x 5 yd. = 32.5 sq. yd.
Total surface area = 60 sq. yd. + 65 sq. yd. + 55 sq. yd. + 66 sq. yd. + 32.5 sq. yd. = 278.5 sq. yd.
Therefore, the surface area of the triangular prism is approximately 278.5 square yards. None of the provided options are correct.