Tangent Sphere Radius
A cube with a side length (S) of 5 has a tangent sphere with a radius (R) of 3.5355.
Tangent Sphere Radius Formula
for cubes with a side length S find the radius R of the sphere tangent to the cube edges
- R = S/√2
substitute the side length S with the measured value, in this example lets use a side length of 5
- R = 5/√2
divide the side length by the square root of 2 to find the radius of a sphere tangent to the edges of the cube
- R = 3.5355
Given a cube with a side length S the radius (R) of a sphere tangent to the cube edges can be found by dividing the cube side length by the square root of two (2).