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
16