The formula to calculate the Lateral Surface Area of a Right Square Pyramid is:
\[ \text{LSA} = l_e(\text{Base}) \cdot \sqrt{l_e(\text{Base})^2 + (4 \cdot h^2)} \]
The lateral surface area of a right square pyramid is the total amount of two-dimensional space occupied on all the faces of the pyramid, excluding the area of the base. The edge length of the base is the length of the straight line connecting any two adjacent vertices of the base, and the height is the length of the perpendicular from the apex to the base.
Let's assume the following values:
Using the formula:
\[ \text{LSA} = 10 \cdot \sqrt{10^2 + (4 \cdot 15^2)} \approx 316.227766016838 \]
The Lateral Surface Area is approximately 316.227766016838 Square Meters.
| Edge Length (Meters) | Height (Meters) | Lateral Surface Area (Square Meters) |
|---|---|---|
| 9.5 | 15 | 298.948260573631671 |
| 10 | 15 | 316.227766016837904 |
| 10.5 | 15 | 333.736516581569163 |