If a ball is tangent to the edges of a cube with side length a, then the surface area of the ball is? What is the situation of tangency with edge?

If a ball is tangent to the edges of a cube with side length a, then the surface area of the ball is? What is the situation of tangency with edge?

Tangent to the edge, we can know that the diameter of the ball is the diagonal of the square on the surface of the cube
Get the radius of the ball √ 2A / 2 (two-thirds root 2)
The surface machine formula of sphere s = 4 π R ^ 2 = 2 π a ^ 2