The formula to calculate the Lateral Surface Area of a Pentagonal Prism is:
\[ \text{LSA} = 5 \cdot \text{Base Edge Length} \cdot \text{Height} \]
The Lateral Surface Area of a Pentagonal Prism is the quantity of plane enclosed by all the lateral surfaces (excluding the top and bottom faces) of the Pentagonal Prism. The Base Edge Length is the length of the straight line connecting any two adjacent vertices of the base, and the Height is the length of the straight line connecting any base vertex to the corresponding top vertex.
Let's assume the following values:
Using the formula:
\[ \text{LSA} = 5 \cdot 10 \cdot 15 = 750 \]
The Lateral Surface Area is 750 Square Meters.
| Base Edge Length (Meters) | Height (Meters) | Lateral Surface Area (Square Meters) |
|---|---|---|
| 9 | 15 | 675.000000000000000 |
| 9.5 | 15 | 712.500000000000000 |
| 10 | 15 | 750.000000000000000 |
| 10.5 | 15 | 787.500000000000000 |
| 11 | 15 | 825.000000000000000 |