During this activity, I designed a gauge to test out the which best fits the 20mm cube. The side length I am trying to test out is 19.8mm, 19.9mm, 20.0mm, 20.1mm and 20.2mm.
After printing out the cube and the gauge, we found out that the cube could not even pass through the 20.2mm hole smoothly. We realized that there is something inaccurate happened, so we decided to measure the actual dimensions of the cube.
Here's the collection of data I got from the printed cube. The dimensions of the actual cube are slightly off. That's the reason why the cube was unable to pass through the 20.2mm hole smoothly.
Length-a
Width-b
Height-c
Diagonal 1
Diagonal 2
After measuring the actual side length of the cube, I also measured the length of the holes. The data is shown to the left. All of the actual side length is 0.1-0.2mm away from the ideal side, which can also cause problems when the cube tries to pass through.
Today, we introduced two new concepts: MMC (Maximum Material Conditions) and LMC (Least Material Conditions). Since we allow the side length of the cube to be 19.8-20.2mm, the MMC is when all sides of the cube is 20.2mm and the LMC is when all sides of the cube is 19.8mm.
Three examples of non-cube within the tolerances
2D drawing of the cubes with dimensions