How many rectangular prisms can you make with cubes if you have 20?

To determine how many distinct rectangular prisms you can create using 20 unit cubes, you need to find all the combinations of positive integer dimensions ( (l, w, h) ) such that ( l \times w \times h = 20 ). The factors of 20 are 1, 2, 4, 5, 10, and 20. By considering the different permutations of these factors, you can find the various configurations, resulting in a total of 6 distinct rectangular prisms.