If p, q, r, s and t represent length, breadth, height, surface area and volume of a cuboid respectively, then what is \frac{1}{p}+\frac{1}{q}+\frac{1}{r} equal to?
- A. \frac{s}{t}
- B. \frac{2t}{s}
- C. \frac{s}{2t} ✓
- D. \frac{2s}{t}
Correct Answer: C. \frac{s}{2t}
Explanation
For a cuboid, volume t = pqr and surface area s = 2(pq+qr+rp). The given expression simplifies to \frac{1}{p} + \frac{1}{q} + \frac{1}{r} = \frac{qr+pr+pq}{pqr}. Recognizing the numerator as half the surface area (\frac{s}{2}), the ratio becomes \frac{s/2}{t} = \frac{s}{2t}.
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