The formula to calculate the Lateral Surface Area of a Cube given its face diagonal is:
\[ \text{LSA} = 2 \cdot d_{\text{Face}}^2 \]
The Lateral Surface Area of a Cube is the total area of all the lateral surfaces (excluding the top and bottom faces) of the cube. The face diagonal is the distance between any pair of opposite corners on a particular square face of the cube.
Let's assume the following value:
Using the formula:
\[ \text{LSA} = 2 \cdot 14^2 \approx 392 \, \text{square meters} \]
The Lateral Surface Area is approximately 392 square meters.
| Face Diagonal (meters) | Lateral Surface Area (square meters) |
|---|---|
| 12 | 288.000000000000000 |
| 13 | 338.000000000000000 |
| 14 | 392.000000000000000 |
| 15 | 450.000000000000000 |
| 16 | 512.000000000000000 |