### Instruction: What is the volume, in cubic units, of a cube whose surface area is 600 square units?### Response: A cube has six faces, each of which is a square.
Therefore, the surface area of a cube is six times the area of one face.
If the surface area is 600 square units, then the area of one face is 600 divided by 6, which is 100 square units.
The area of a square is the square of the length of its side.
Therefore, the length of one side of the cube is the square root of 100, which is 10 units.
The volume of a cube is the cube of the length of its side.