[Faraz]

Given that the volume of the cube is 512 cubic cm, we can start by finding the length of one side of the cube.

The formula for the volume of a cube is:

Volume = side^3

Since the volume is given as 512 cubic cm, we can set up the equation:

512 = side^3

To solve for the side length, we can take the cube root of both sides:

∛512 = ∛(side^3)

8 = side

Now that we have determined that the side length of the cube is 8 cm, we can find the area of one face, which is the area of a square with side length 8 cm.

The formula for the area of a square is:

Area = side^2

Plugging in the side length of 8 cm, we have:

Area = 8^2 = 64 square cm

Therefore, the area of one face of the cube is 64 square cm.