The formula to calculate the insphere radius of a cube given the perimeter is:
\[ r_i = \frac{P}{24} \]
Where:
The insphere radius of a cube is the radius of the sphere that is contained by the cube in such a way that all the faces just touch the sphere.
The perimeter of a cube is the total distance around the edge of the cube.
Let's assume the following value:
Using the formula:
\[ r_i = \frac{120}{24} = 5 \text{ m} \]
The insphere radius is 5 meters.
| Perimeter (m) | Insphere Radius (m) |
|---|---|
| 100 | 4.17 |
| 120 | 5.00 |
| 140 | 5.83 |
| 160 | 6.67 |
| 180 | 7.50 |
| 200 | 8.33 |