Let each bucket hold \(x\) liters of water. Since 64 buckets of water are removed, the tank becomes empty by \[ 1 - \frac{1}{3} = \frac{2}{3} \] The side length of the cube-shaped tank is 1.2 meters = 12 decimeters. ∴ Volume of the tank \[ = 12^3 = 1728 \text{ cubic decimeters} \] Since 1 cubic decimeter = 1 liter, the tank holds a total of 1728 liters of water. According to the question: \[ 64 \times x = 1728 \times \frac{2}{3} \Rightarrow x = \frac{1728 \times 2}{64 \times 3} = 18 \] ∴ Each bucket holds 18 liters of water.