To calculate the surface area (S.A.) of a triangular prism, we use the formula:
\[ S.A. = \text{Base Area} + \text{Lateral Surface Area} \]
where:
- Base Area is the area of the triangular base multiplied by 2 (since there are two identical bases).
- Lateral Surface Area is the sum of the areas of the three rectangular sides.
Let's break down the calculations step by step.
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Calculate the Base Area: First, find the area of the triangle that forms the base. The area of a triangle can be calculated with the formula:
\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]
You would need the measurements for the base and the height of the triangle.
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Calculate the Lateral Surface Area: The lateral surface area can be found using the formula:
\[ \text{Lateral Surface Area} = (\text{Perimeter of the Base}) \times \text{Height of the Prism} \]
To find the perimeter, add the lengths of all three sides of the triangular base.
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Combine to Find Surface Area: Finally, plug these values into the surface area formula:
\[ S.A. = 2 \times \text{Base Area} + \text{Lateral Surface Area} \]
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Round the result to the nearest whole number.
Since you haven’t provided specific dimensions of the triangular prism, you'll need to plug in the values you have to complete the calculation.
If you provide the dimensions used (base and height of the triangle, and the height of the prism), I'd be happy to help you perform the calculations!