Packing Parcels

Summary Packing Parcels A math puzzle inspired in our daily life. For most children and adults mathematics could be boring and difficult. But everyday we use mathematics to make all sort of things in our life. Packing parcels is one of them. Everyone already try to tidy up toys in a box or put luggage in the trunk. Print Settings Printer: Bq Witbox Rafts: No Supports: No Resolution: 0,2mm Infill: 20% Notes: Filament: PLA, Print Speed: 60mm/s, Bed adhesive: hair spray Post-Printing Clear the holes With a small rasp clear the tiny lines that still there after print How I Designed This STEP 1 - Draw box 1 Write the follow code in openscad: difference(){ difference(){ cube([20,20,20], center=true); cylinder(h=20,r=3, center=true); } rotate([90,0,0])cylinder(h=20,r=3, center=true); rotate([0,90,0])cylinder(h=20,r=3, center=true); } STEP 2 - Draw box 2 Write the follow code in openscad: difference(){ difference(){ cube([40,40,20], center=true); cylinder(h=20,r=3, center=true); } rotate([90,0,0])cylinder(h=40,r=3, center=true); rotate([0,90,0])cylinder(h=40,r=3, center=true); } STEP 3 - Draw box 3 Write the follow code in openscad: difference(){ cube([66,66,66], center=true); translate([0,3,0])cube([63,63,63],center=true); } STEP 4 - Draw the stick Write the follow code in openscad: cube([100,1,3], center=false); translate([100,0,0])cube([1,3,3],center=false); Project: Packing Parcels Project Name Packing Parcels A math puzzle inspired in our daily life. For most children and adults mathematics could be boring and difficult. But everyday we use mathematics to make all sort of things in our life. Packing parcels is one of them. Everyone already try to tidy up toys in a box or put luggage in the trunk. Packing Parcels Overview & Background This project give me more knowledge about math. I was a medium math student and now with 3D printers at a reasonable price it's a great opportunity to everyone knows more about math and have hands on activities in schools. Further more i like puzzles. Objectives At the end of this project the students will know more about: Geometry Volume Area And understand how they are related to each other for solve this type of puzzles Audiences This project can me made by children with 14 plus Subjects Math Skills learned Spacial thinking How to solve problems with math help Activity Teacher can present to the class a math challenge: You have to pack all 9 parcels (the green boxes) into the box (red box) And you have about 20 minutes do do it This 6 Plus this 3 Inside here Use the stick When you try to solve the puzzle and put a piece in a wrong place you can use the stick to remove the piece Using math to solve the problem Solving this kind of math problems involves geometry. Volume and area are key concepts to complete the task. Why it's challeging? The different shapes are not geometrically similar to each other and use different mathematical properties for obtaining their volume or area which is vital for packing objects together. In this case challenges with cubes are more simple to solve. Volume box1 = 2x2x2 = 8 cubic centimeters Volume box2 = 4x4x2 = 32 cubic centimeters Volume box3 = 6,3x6,3x6,3 = 250 cubic centimeters Then for solving the problem the 9 parcels have to fit in the volume of the box3 Volume box3 > 3x(Volume box1) + 6x(Volume box2) 250 > 3x8 + 6x32 <=> 250 > 216 It's possible to solve the math problem because the solution is true. Physics and Chemistry Atoms and molecules are packed together to form solids, liquids and gases. Particles in a solid are usually more tightly packed together. And in our daily life If you use salt to season the food next time remember that all sodium chloride crystal are cube shape. Inside the crystal sodium ions and chloride ions are packed together. If you plan a trip and have to pack many things into a small car, you need to use the space efficiently. If you don’t, you may have to make an extra trip or buy a larger car! Solution for the puzzle This will be a future project that i made my first steps now. You can use Aurasma to view a augmented reality of this puzzle made by me. You can download the trigger image, print it and use it to see the solution. I used Blender for animation and Aurasma for Augmented Reality Blender Aurasma Trigger Duration Give students 20 to 25 minutes to solve the puzzle Preparation Have the files printed Have the trigger printed Have phones or tablets with Aurasma app instaled to see the solution References The math is quite simple so for now no references Rubric & Assessment Most students will solve the puzzle in time. If you want to step up there is a small big detail, inside the box3 (red box) fit exactly the volume of 27 box1(the smaller one). This means that if you design pieces that all together reach 27 box 1 you can create your own pieces and challenges. Handouts & Assets You can download the trigger.png to see the solution with Aurasma