A ball of radius 3 is inscribed in the cube. Find the volume of the cube?

Given:
Cube;
Inscribed ball;
R = 3;
V cube =?
Decision:
A rectangular parallelepiped, all of whose faces are squares, is called a cube. All edges of a cube are equal. The volume of a cube is expressed by the formula:
V cube = a³,
where a is the edge of the cube.
If the cube is inscribed in a ball, then the edge of the cube is equal to twice the radius of the ball:
a = 2R;
a = 2 * 3 = 6;
If a = 6, then V cube = a³ = 6³ = 216
Answer: 216