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      Question

      The weight of a cubic metre metal is 1215 kg. It is

      melted and cast into a square rod of 9m length. A solid cube of maximum size is taken out from one end. Find the weight of the solid cube?
      A 42 kg Correct Answer Incorrect Answer
      B 52 kg Correct Answer Incorrect Answer
      C 37 kg Correct Answer Incorrect Answer
      D 45 kg Correct Answer Incorrect Answer

      Solution

      1 m³ = 1215 kg ~ Volumes are equal 9 × x × x = 1 x² = 1/9 ⇒ x = 1/3 [height is also same] Volume = (1/3)³ = 1/27 m³ Weight ⇒ 1/27 × 1215 = 45 kg

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