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      Question

      Three cubes of metal whose edges are 3cm, 4cm and 5cm.

      respectively are melted and a single cube is formed. What is the length of the edge of the newly formed cube?
      A 6cm Correct Answer Incorrect Answer
      B 12cm Correct Answer Incorrect Answer
      C 10cm Correct Answer Incorrect Answer
      D 9cm Correct Answer Incorrect Answer

      Solution

      Volume of recast cubes = 33+43+53=27+64+125 = 216 Note- When many cubes are integrated into one cube the side of the new cube will be – a3 = Sum of cubes of sides of all the cube a3 = 216 a=6cm

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