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The area of three adjacent faces of a cuboid are x, y, z square units respectively. If the volume of the cuboid be y cubic units, then the correct relation between v, x, y, z is
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- v² = xyz
- v² = xyz
- v² = x³y³z³
- v² = x²y²z²
- v² = xyz
Correct Option: A
If l, b, h be the dimensions of the cuboid, then volume of the cuboid = l × b × h
Now, x = l × b, y = l × h,
z = b × h
∴ xyz = l² × b² × h² = v²