Answer:

The total area of the 6 faces of a cube can be calculated by summing the areas of each face. Since all faces of a cube have the same area, we can divide the total area by 6 to get the area of each face.

Total area of 6 faces = 24 cm^2

Area of each face = Total area / 6 = 24 cm^2 / 6 = 4 cm^2

The area of each face of the cube is 4 cm^2. Since a cube has 6 equal faces, we can calculate the length of one side of the cube using the formula:

Area of a face = side length^2

4 cm^2 = side length^2

Taking the square root of both sides, we get:

side length = √4 cm = 2 cm

Now that we know the side length of the cube, we can calculate the volume of the cube using the formula:

Volume of a cube = side length^3

Volume of the cube = 2 cm × 2 cm × 2 cm = 8 cm^3

Therefore, the volume of the cube is 8 cm^3.

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