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CTET PAPER II 2019 · PYQ · Mensuration · medium

The total surface area of a cuboid is 194 m². If its length is 8 m and breadth is 6 m, then what is its volume (in m³)?

  1. A.112
  2. B.126
  3. C.168✓ Correct
  4. D.224

Explanation

TSA of cuboid = 2(lb + bh + lh) = 194. With l=8, b=6: 2(48 + 6h + 8h) = 194 → 96 + 28h = 194 → 28h = 98 → h = 3.5 m. Volume = lbh = 8 × 6 × 3.5 = 168 m³.
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