Final answer:
The calculated surface area of the given triangular prism with a base length of 4 yards, a base width of 4 yards, and a height of 12 yards, using the formula: Area = bh + 2bs + lw, is 152 square yards. However, this answer is not among the provided choices, suggesting a potential error in the problem or answer options.
Step-by-step explanation:
The question asks about the surface area of a triangular prism with a base length of 4 yards, a base width of 4 yards, and a height of 12 yards. The surface area of a triangular prism can be found using the formula: Area = bh + 2bs + lw, where b is the base width, h is the prism height, s is the base slant length (equal to the height in this case because it's a right angled triangle) and l and w are the length and width of the base.
In this case, we substitute these dimensions into our formula. So, the surface area = (4 * 4)/2 + 2 * 4 * 12 + 4 * 12 = 8 + 96 + 48 = 152 square yards. However, this option is not listed among the options given.
Unfortunately, there may be an error in the description of the problem or the provided answer choices. Always ensure you understand the problem and have the correct dimensions and formula before attempting to solve.
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