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Find the volume of the right rectangular prism packed with cubes. Each cube has an edge length of 1/3 inch. Enter the answer in a fraction and do not reduce. (there are 6 cubes)

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The volume of each cube is $(1/3)^3 = 1/27$ cubic inches.
Since there are 6 cubes packed in the prism, the total volume is $6 \cdot 1/27 = 6/27 = \boxed{2/9}$ cubic inches.
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