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.
The volume of the right rectangular prism packed with cubes can be calculated by dividing the volume of the prism by the volume of each cube.
The right rectangular prism has dimensions of 1 inch by 2 inches by 3 inches, so its volume is 1 * 2 * 3 = 6 cubic inches.
Each cube has an edge length of 1/3 inch, so its volume is (1/3)^3 = 1/27 cubic inches.
Therefore, the volume of the right rectangular prism packed with cubes is 6 / (1/27) = 6 * 27/1 = 162 cubic inches.