The formula to calculate the total surface area of a cube given the perimeter is:
\[ \text{TSA} = 6 \left(\frac{P}{12}\right)^2 \]
Where:
The total surface area of a cube is the quantity of plane enclosed by the entire surface of the cube.
The perimeter of a cube is the total distance around the edge of the cube.
Let's assume the following value:
Using the formula:
\[ \text{TSA} = 6 \left(\frac{120}{12}\right)^2 = 600 \text{ m}^2 \]
The total surface area is 600 square meters.
| Perimeter (m) | Total Surface Area (m²) |
|---|---|
| 100 | 416.67 |
| 120 | 600.00 |
| 140 | 816.67 |
| 160 | 1,066.67 |
| 180 | 1,350.00 |
| 200 | 1,666.67 |