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SSC CHSL 2025 · PYQ · Mensuration · medium

A rectangular parallelepiped has its base diagonal equal to 17 cm and height 15 cm. If the area of its base is 120 cm², find the total surface area of the parallelepiped.

  1. A.930 cm²✓ Correct
  2. B.720 cm²
  3. C.860 cm²
  4. D.890 cm²

Explanation

Base area = lb = 120 cm². Perimeter of base: diagonal d=17, l²+b²=289, (l+b)²=l²+2lb+b²=289+240=529, l+b=23 cm. TSA = 2(lb)+2h(l+b) = 2×120+2×15×23 = 240+690 = 930 cm².
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