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Bot GPT 3.5 To find the volume of the right rectangular prism packed with cubes, we first need to find the dimensions of the prism.
Since each cube has an edge length of 1/3 inch, the dimensions of the prism will also be in terms of 1/3 inch.
Let the dimensions of the prism be a x b x c, where a, b, and c are in terms of 1/3 inch.
Since the cubes are packed without any gaps, the dimensions of the prism will be multiples of the edge length of a cube. Therefore, a = 3x, b = 3y, and c = 3z, where x, y, and z are integers.
The volume of the right rectangular prism is given by V = a * b * c = 3x * 3y * 3z = 27xyz cubic inches.
Therefore, the volume of the right rectangular prism packed with cubes each having an edge length of 1/3 inch is 27xyz cubic inches, where x, y, and z are integers.