A triangular prism is shown below.



What is the lateral surface area of this prism?
A.
252 m2


B.
294 m2


C.
264 m2


D.
336 m2



To calculate the **lateral surface area** of a triangular prism, we need to follow these steps. The lateral surface area is the sum of the areas of the side faces (excluding the two triangular bases). The formula for the lateral surface area is:

\[
\text{Lateral Surface Area} = \text{Perimeter of base} \times \text{Height of the prism}
\]

### Step-by-Step Approach:

1. **Identify the shape of the base**:  
   Since it is a triangular prism, the base is a triangle.

2. **Determine the perimeter of the triangular base**:  
   The perimeter of the base is the sum of the side lengths of the triangle. We need these dimensions to proceed.

3. **Find the height of the prism**:  
   The height of the prism is the perpendicular distance between the two triangular bases (this corresponds to the length of the prism).

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Since you mentioned the prism is "shown below" but did not provide any image, can you upload the figure or provide the specific side lengths and height? Once we have these values, we can directly compute the lateral surface area and confirm the correct answer among the options.

A triangular prism is shown below. What is the lateral surface area of this prism?
A. 252 m²
B. 294 m²
C. 264 m²
D. 336 m²

Learn how to calculate the lateral surface area of a triangular prism with a step-by-step guide. This problem focuses on understanding the geometry of prisms and applying the formula: Lateral Surface Area = Perimeter of base × Height of the prism. Suitable for Grades 7-9 students.

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