Length of the string L as shown in Red color will be= 4x

                                                         Blue color          =2x +2y

 

Hence total length = 6x+2y

 

If the fixed volume of the cuboid is V, then  V= x2y

 

We can express y = V/x2

 

Thus length of the string 6x+2y will be equal to 6x +2V/x2

 

 

 

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