The formula to calculate the Lateral Surface Area of a Cube given its perimeter is:
\[ \text{LSA} = 4 \left(\frac{P}{12}\right)^2 \]
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 perimeter of the cube is the total distance around its edges.
Let's assume the following value:
Using the formula:
\[ \text{LSA} = 4 \left(\frac{120}{12}\right)^2 \approx 400 \, \text{square meters} \]
The Lateral Surface Area is approximately 400 square meters.
| Perimeter of Cube (meters) | Lateral Surface Area (square meters) |
|---|---|
| 100 | 277.777777777777828 |
| 105 | 306.250000000000000 |
| 110 | 336.111111111111086 |
| 115 | 367.361111111111143 |
| 120 | 400.000000000000000 |
| 125 | 434.027777777777715 |
| 130 | 469.444444444444514 |