Calculate the volume of a cube, the sum of the lengths of the edges of which is 16 cm.

To determine the volume of a cube, you need to find the side of this cube. The sum of the lengths of the edges of a cube is the sum of 12 edges. The cube has the same edges, so to determine one side of the cube, you need to divide the sum of the twelve sides by 12:
16/12 = 4/3 cm.
The volume of a cube is equal to the product of all its dimensions. Since all dimensions of a cube are equal, its volume is equal to the cube (third degree) of the side:
(4/3) ^ 3 = 64/27.
Answer: the volume of this cube is 64/27.