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Let first cube has side a units
other has side b units
total surface area = 6a²
so, S1/ S2 = 4/9
⇒(6a²)/(6b²) = 4/9
⇒a²/b² =(2²/3²)
⇒a/b= 2/3
now, volume of cube = a³
ratio of volume,
V1/V2 = (a/b)³
           = (2/3)³
           = (8/27)
ratio of volume = 8:27