May 13, 2026
Description
The .3mf file is for 0.8mm nozzle
Settings: Vase mode 0.8mm extrusion width.
I asked Grok to use calculus to find the optimum dimensions, for a closed cylinder, to hold one cup of water. It came up with interior measurements of 67.1mm diameter and 67mm high (70x70mm exterior) which is square. I remember the correct answer is something more like a soda can. But you know what, I prefer the “square” cylinder. It's easier to clean and won't tip over as easily. And maybe it does optimize material used, because the walls of the soft drink can are thinner.
I did not use an open cylinder for the material optimization because I wanted to make the bottom doubly-thick. Remove the top layer, add it to the bottom. And you have an optimum, yet durable, measuring cup.
The cup's interior volume is 236.588 cm³ (the same, in mL), or 8 fluid ounces, with a minimized surface area of about 211.85 cm².
When printed in vase mode, with 0.8 wall thickness, the interior diameter is 67mm. With the extra volume provided by the measuring ridges.
With ridges, 1mm base thickness, ridges moved up by 1mm to compensate, and added height to prevent spillage, the container's outer dimensions fit exactly into a 70mm cube.
Yes, I am aware that ridges in a print trap food and encourage mold and bacteria growth. To mitigate this,
use separate cups for food and water and color them differently,
print with PETG, which is dishwasher-safe,
clean and disinfect cups after use,
and cook food thoroughly, or don't worry about it.
Water weight, in ounces, is approximately 4% more than the volume measurement in fluid ounces at 20°C (60°F). So if water weight is desired, print 4% smaller or eyeball the difference.
License:
Creative Commons — Attribution — Share Alike