find the volume of the right rectangular prism packed with cubes each Cube has an edge length of 1/3 inch.

To find the volume of the right rectangular prism, we need to determine the number of cubes that fit along each dimension.

The edge length of each cube is 1/3 inch, so for the length of the rectangular prism, we have: 1/(1/3) = 3 cubes.

For the width, we have the same: 1/(1/3) = 3 cubes.

For the height, we also have: 1/(1/3) = 3 cubes.

Therefore, the total number of cubes in the rectangular prism is 3 x 3 x 3 = 27 cubes.

Since each cube has a volume of (1/3)^3 = 1/27 cubic inches, the volume of the right rectangular prism is: 27 x (1/27) = 1 cubic inch.

Therefore, the volume of the right rectangular prism packed with cubes each having an edge length of 1/3 inch is 1 cubic inch.