Final answer:
To find the volume of a cube with a volume of 512 cubic inches, the formula V = s³ is used, where s is the length of a side. By taking the cube root of 512, we find that each side of the cube is 8 inches.
correct option is C) V = lwh
Step-by-step explanation:
To find the volume of a cube when given a volume of 512 cubic inches, you can use the formula V = s³, where V represents volume and s represents the length of one side of the cube. Since a cube has all sides of equal length, we can find the length of one side by taking the cube root of the volume. Therefore, we calculate the length of one side (s) as follows:
- Start with the volume formula for a cube: V = s³.
- The given volume is 512 cubic inches, so we set up the equation 512 = s³.
- Find the cube root of both sides to get s = ∛512 = 8 inches.
- Therefore, each side of the cube is 8 inches long.
The correct formula to use is A) V = s³, not any of the other provided options. Option B) V = 4/3πr³ is the volume of a sphere, Option C) V = lwh is the volume of a rectangular prism, and Option D) V = πd²h/4 is not a standard volume formula.