The total surface area of the cube is 600 cm2. Find the volume of the given cube.

The surface area of a cube is equal to the sum of the surface areas of its faces. In total, the cube has six faces, and they all have the same area.

Let’s calculate the area of one of the faces of this cube:

600/6 = 100 (cm ^ 2).

The face of the cube is square, its area is equal to the square of the side of the square.

We calculate the length of the side of the square:

√100 = 10 (cm).

Now, knowing the length of the edge of the cube, we calculate its volume:

V = 10 * 10 * 10 = 1000 (cm ^ 3).

Answer: 1000 cm ^ 3.