E3D+VET exercise: Archimedes Principle

myminifactory

This is part of the series of 30 exercises developed during the E3D+VET program. The aim of this Erasmus+ program is to immerse VET centers in 3D printing through the website https://www.e3dplusvet.eu/. 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 submerge them in a measuring cylinder filled with water. They will have to check how much water the piece is displacing and verify that it's the same as the volume of the piece. It's advisable to print the pieces with 100% infill so they are completely submerged in the water. Example: printing a cube. Cube volume: a·a·a = 2cm·2cm·2cm = 8cm3 Displaced volume in the measuring cylinder: Students will first measure the internal diameter of the measuring cylinder, let's say it's 3 cm. If students immerse the cube inside the measuring cylinder filled with water, they will be able to see that the displaced height is approximately 1.15cm. They will have to check that the displaced volume is equal to the volume of the cube: Pi·R^2·Δh = a·a·a -> 3.14·1.52·1.15 = 8.1 ≈ 8 Volumes: Cube: a^3 Cylinder: pi·r^2·h Pyramid: (1/3)·a^2·h Sphere: (4/3)·pi·r^3 Torus: (1/4)·pi^2·D·d^2