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 \(=\pi r^2h\)
Radius of the wire = 1mm = 0.1cm
We know that,
Volume of the cube = volume of the wire
Hence,
Length of the wire = \(\frac{volume}{\pi r^2}\)
= \(\frac{10.648\times7}{22\times0.1\times0.1}\)
= 338.8 cm