To find the number of 1/6 unit cubes, you have to convert all the dimensions into 6ths. 1 1/3 converts into 8/6 and 2/3 converts into 4/6 if you multiply both by 2/2, which is equal to 1. Next, you multiply all the dimensions together, because to find volume, you have to use this formula: base times height times width = V(volume). 8/6 times 4/6 gives you 32/36, and 32/36 times 5/6 gives you 160/216 units³. Then, you have to find the volume of the 1/6 cube. 1/6 times 1/6 times 1/6 = 1/216 units³. Finally, you divide 160/216 by 1/216, and there are 160 1/216 in 160/216, so the answer is "C," 160 1/6 side length cubes can fit into the rectangular prism without any gap or overlap.
