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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 are  :


Options:
A .  10 cm, 50 cm
B .  20 cm,100 cm
C .  40 cm, 200 cm
D .  None of these
Answer: Option B

Let he sides of the sheet be` x and  5x`, Then ,

Volume of the sheet = Volume of the cube

`rArr  x xx 5x xx 1/2 = 10 xx 10 xx 10`

`rArr  5x^2 = 2000`

`rArr  x^2 = 400`

`rArr   x = 20`

`:.`       The sides are 20 cm and 100 cm .



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