To find the lateral surface area of a triangular prism, you need to calculate the area of the three rectangular sides that connect the two triangular bases. The formula for the lateral surface area (LSA) of a triangular prism is:
\[ \text{LSA} = \text{Perimeter of the base} \times \text{Height} \]
First, we need to identify the dimensions. Let's assume the triangular base has sides of lengths 5 cm, 5 cm, and 6 cm. The height of the prism is given as 8 cm.
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Calculate the perimeter of the triangular base: \[ \text{Perimeter} = 5 + 5 + 6 = 16 \text{ cm} \]
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Use the height of the prism to find the lateral surface area: \[ \text{LSA} = \text{Perimeter} \times \text{Height} = 16 \text{ cm} \times 8 \text{ cm} = 128 \text{ cm}^2 \]
So, the lateral surface area is 128 cm².
The correct response is: 128 cm²