Final answer:
To find the volume of a cube given its surface area, use the formula 6s^2 = Surface Area and then V = s^3 to find the volume.
Step-by-step explanation:
To find the volume of a cube, we need to know the length of one side. Since the total surface area of the cube is given as 384 cm, we can use the formula for the surface area of a cube: 6s^2 where s is the length of one side. Setting 6s^2 equal to 384 cm and solving for s, we get s = 8 cm. Now, we can calculate the volume of the cube using the formula: V = s^3. Substituting s = 8 cm, we find that the volume of the cube is 512 cm³.
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