By melting a large metal cube of side 4 cm each, some smaller metal cube of side 2 cm each are made.Find the total surface are of each smaller cube.

Explanation

The volume of the large cube `= 4^3 "cc" = 64 "cc" `
The volume of the smaller cube `= (64 "cc" )/(8 "cc") = 8`
Hence the number of smaller cube `=6 xx 2^2 ` sq-cm - 24 sq-cm.
So, the total surface are of 8 cube `= 24 xx 8 sq-cm ` = 192 sq-cm.
Hence the required total surface are of each samller cube = 192 sq.cm