Find the volume of the right rectangular prism using the cube method. Each cube is 1/3 inch on each side. What is the volume of the prism? Provide your answe as a fraction reduced to the lowest terms.
First, we need to determine the dimensions of the prism in terms of the cubes. Let's assume the prism has a length of 6 cubes, a width of 4 cubes, and a height of 3 cubes.
To find the volume of the prism, we need to count the total number of cubes that fit inside the prism. In this case, there are 6 cubes in length, 4 cubes in width, and 3 cubes in height.
Total number of cubes = 6 x 4 x 3 = 72 cubes
Now, to find the volume of the prism, we need to multiply the total number of cubes by the volume of each cube (1/3 inch cube).
Volume = 72 cubes x (1/3 inch)^3 = 72 x 1/27 = 72/27 = 8/3 cubic inches
Therefore, the volume of the prism is 8/3 cubic inches.