## 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).