How to use this exercise?
Students will be able to prove the Archimedes’ Principle by immersing different pieces in a measuring cylinder.
Number of pieces of this exercise
The idea is to print pieces with different basic geometries, such as cylinders, spheres, cubes, pyramids, etc. Students will have to calculate the volume of these pieces and then immerse them in a measuring cylinder filled with water. They will have to check how much water the piece is displacing and verify that is the same as the volume of the piece.
It is advisable to print the pieces with 100% of infill, so that they are completely immerse in the water.
Example printing a cube:
Cube volume: a*a*a = 2cm*2cm*2cm = 8cm3
Displaced volume in the measuring cylinder:
First of all, students will have to measure the internal diameter of the measuring cylinder. Let say this diameter is 3 cm.
If students immerse the cube inside the measuring cylinder filled with water, they will able to see that the displaced height is approximately 1.15cm.
So, they will have to check that the displaced volume is equal to the volume of the cube:
Pi*R2*Δh = a*a*a 3.14*1.52*1.15 = 8.1 ≈ 8
License InfoAttribution 4.0 International (CC BY 4.0) https://creativecommons.org/licenses/by/4.0/
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Adapt — remix, transform, and build upon the material
for any purpose, even commercially.
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How can the model be used in class?
The different models can be used for verify that the model volume is equal to the volume of water displaced when it is immersed in water.
It can be good that different models are printed in order students can do the experiment with different geometries and mathematical formulas.
What benefits can its use have?
Students will learn physics in a practical way, and also, they can learn the different mathematical formulas of solids such as cubes, prisms, pyramids, spheres, cylinders, cones, etc.
More complicated geometries can be also printed.
Can it be used in other subjects?