To find the Lateral Surface Area (LSA) of a square-based pyramid with each triangular face having an area of 36 cm², follow these steps:
1. Understand the Structure: A square-based pyramid has four triangular faces and one square base. The LSA considers only the area of the triangular faces, not the base.
2. Given Data: The area of each triangular face is provided as 36 cm².
3. Number of Faces: Since the pyramid has four triangular faces, you need to account for all of them in the LSA calculation.
4. Calculate the Total LSA: Multiply the area of one triangular face by the number of triangular faces.
- Each triangular face area = 36 cm²
- Number of triangular faces = 4
- Total LSA = 36 cm² * 4 = 144 cm²
Therefore, the Lateral Surface Area (LSA) of the square-based pyramid is 144 cm².
