Creating Distances in 3 Space: Quick Formative Assessment

Goal here: Move points A and B around to cause AB = distance between A and B to equal the value displayed. For simplicity sake, let's keep the edge lengths of the prism shown as positive integers ranging from 1 to 9. Given this, the number of possible unique solutions for each problem is provided. Note: The number of UNIQUE solutions is given. Thus, a prism having LENGTH = 4, WIDTH = 5, and HEIGHT = 6 is equivalent to a prism having LENGTH = 6, WIDTH = 4, and HEIGHT = 5.