Q16 of 94 Page 227

A solid cube of metal each of whose sides measures 2.2 cm is melted to form a cylindrical wire of radius 1 mm. Find the length of the wire so obtained.

It is given in the question that

Length of the edge, a = 2.2 cm


Hence,


Volume of the cube = a3


= (2.2)3


= 10.648 cm3


Now,


Volume of the wire =


Radius of the wire = 1mm = 0.1cm


We know that,


Volume of the cube = volume of the wire


Hence,


Length of the wire =


=


= 338.8 cm


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