Calculate the volume of a ball circumscribed about a cube whose edge is 1m.

1) In order to solve this problem, we need to find the diagonal of the cube, we will use the formula: D ^ 2 = 3a ^ 2.
2) Find the diagonal of the cube:
x = √ (8 + 4) = √12 = 2√3.
3) The radius is half the diagonal: 2√3 / 2 = √3.
4) Volume of the sphere: V = 4πR ^ 3/3 = (4π * √3 * √3 * √3) / 3 = 4π * √3.
As a result of the actions taken, we get the answer: 4π * √3