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The volume of the rectangular prism can be found by multiplying the number of cubes in each dimension.
Number of cubes in the length = 3 columns
Number of cubes in the width = 2 cubes
Number of cubes in the height = 2 cubes
Volume = 3 x 2 x 2 = 12 cubes
Since each cube has a side length of 1/3 inch, the volume of the prism is 12 x (1/3)^3 = 12 x 1/27 = 12/27 = 4/9 cubic inches.
Therefore, the volume of the prism is 4/9 cubic inches.