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QuestionMathematics
# Question 8
Find the surface area of the triangular prism.
The area of the base is $7.75 \mathrm{yd}^{2}$.
The surface area is
square yards.
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Answer
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Step 1:I'll solve this step by step using precise LaTeX formatting:
Step 2:: Identify the given information
- Base area = $$7.75 \mathrm{yd}^{2}
- We need to calculate the total surface area of the triangular prism
Step 3:: Recall the surface area formula for a triangular prism
Surface Area = $$2 \times (\text{Base Area}) + (\text{Perimeter of Base}) \times (\text{Height})
The surface area consists of: - 2 triangular bases - 3 rectangular lateral faces
Step 4:: Calculate base areas
- Base area = $$7.75 \mathrm{yd}^{2}
- Total base area = 2 \times 7.75 = 15.50 \mathrm{yd}^{2}
Step 5:: Determine the height and perimeter
Unfortunately, the height and base perimeter are not provided in the image. Without these additional measurements, we cannot complete the full surface area calculation.
Final Answer
More details about the prism's height and base perimeter are needed.
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