First, we will calculate the volume of the prism as follows: The prism is right rectangular prism, therefore: V = l*w*h where V is the volume we need to calculate l is the length = 1(1/3) units w is width = 5/6 units h is height = 2/3 units Therefore, Volume of prism = 1(1/3) * (5/6) * (2/3) = 20/27 cubic units
Then, we will get the volume of each cube as follows: V = l^3 where: V is the volume we need to calculate l is the length of side = 1/6 units Therefore, Volume of cube = (1/6)^3 = 1/216 cubic units
Finally, to get the number of cubes, we will simply divide the volume of the prism by the volume of the cube as follows: number of cubes = (20/27) / (1/216) = 160 cubes
