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 can be found by calculating the number of cubes needed to fill the prism.
The dimensions of the prism are not provided, so let's assume the dimensions are 3 inches x 2 inches x 4 inches.
The volume of the prism can be calculated as:
Volume = length x width x height
Volume = 3 inches x 2 inches x 4 inches
Volume = 24 cubic inches
Since each cube has an edge length of 1/3 inch, the volume of each cube is:
Volume of cube = (1/3 inch)^3
Volume of cube = 1/27 cubic inches
To find the number of cubes needed to fill the prism, we divide the volume of the prism by the volume of each cube:
Number of cubes = 24 cubic inches / (1/27 cubic inches) = 648
Therefore, the volume of the right rectangular prism packed with cubes is 648/27 cubic inches.