You can put this solution on YOUR website! The total surface area of a cube consists of the sum of the areas of each of the six faces.
If the area of one face is , then the total surface area of the cube is and, you are told that this is 12 cm, so... Solve for x. Divide both sides by 6. sq.cm. This is the area of one face, and, since the faces are squares, you can find the length of one side of the face by taking the square root. cm
Now that you have the length of one edge of the cube, you can find its volume by cubing this. cu.cm. This is the exact volume of the cube.
If you want the approximate value, find the square root of 2. cu.cm.