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Surface areas of three adjacent faces of a cuboid are p, q, r. Its volume is
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- √pq² + qr² rp²
- (√pq + √qr + √rp) (p² + q² + r²)
- (√(p² + q² + r²)(p + q + r)
- √pqr
- √pq² + qr² rp²
Correct Option: D
Let the length, breadth and height of a cuboid be l, b and h units respectively, then
p = lb; q = bh, r = hl
⇒ pqr = l²b²h²
∴ Volume of the cuboid = lbh = √pqr