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Question

An iron cube of side 10 cm is hammered into a rectangular sheet of thickness 0.5 cm if the sides of the sheet are in the ratio 1:5, the sides of the rectangular sheet are 


  1. None of these

  2. 40 cm, 200 cm

  3. 50 cm , 100 cm

  4. 20 cm, 100 cm

  5. 10 cm, 50 cm


Solution

The correct option is D

20 cm, 100 cm


Let the sides of the sheet be x and 5x.

Then, Volume of the sheet = Volume of the cube

x×5x×12=10×10×105x2=2000x2=400x=20

The sides are 20 cm and 100 cm.

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