A rectangular parallelepiped is described around a sphere of radius 20, find its volume.

If the sphere is described by a rectangular parallelepiped, then we can conclude that this polyhedron is a cube. The length of the rib is equal to the length of the diameter of the ball, since the radius is 20 cm, then the length of the rib is 40 cm. We can find the volume of the cube as:
V = a ^ 3 = 40 ^ 3 = 64000 cm3.
Answer: the volume of the cube is 64,000 cm3.



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