Density Shapes

These parts are simple 3D shapes that will print easily and can be used to calculate density. Print using a variety of infill percentages, or even scale the size of the shapes up and down to change mass and volume.
Print Settings
Printer Brand:
MakerBot

Printer:
MakerBot Replicator (5th Generation)

Rafts:
Doesn't Matter

Supports:
Doesn't Matter

Resolution:
.3 - no need for fine resolution

Infill:
variable

Notes:
print with a variety of infill densities to create shapes with identical volume but different masses.
Post-Printing
Label
I recommend using a sharpie to Label each infill density with A,B,C,D etc. so that you know which is which but students do not know why they are different masses. Alternatively, give students a list of the infill densities and try to have then determine which is which.
How I Designed This
My goal was to have shapes that can have easily measured and calculated volumes. I stuck to circles, squares and triangles, but added in some others for more advanced students.



Density Blocks
Objectives
Students will determine the density of a variety of 3D shapes via measurement and calculation.
Students will create a prediction as to why pieces of identical volume and material might have different densities.
Audiance
These could be used anywhere from Pre-K to Introductory college science, but I will be focusing on application in 9-12 chemistry and physics with brief discussion on applications at lower levels.
Preperation
Ideally students will have a basic knowledge of what density is, and be aware of the equation to calculate density d=m/v. Students will need a ruler or other measuring device and some means of measuring the mass of each shape. Alternately, instructors could measure the mass ahead of time and label each shape with its mass.
Steps!
Before the day of your lab, Print the shapes you would like to use at 4-7 different infill percentages. I recommend 0% (hallow), 10%, 25%, 50% and 75%. No need to go to 100%, just a waste of material!
At each lab station have all the prints of one shape. I.E. all the cubes at station 1, cylinders at station 2 and so on. Have student determine the density of each of the objects at their station. When they see that each one has a different density, have them predict how this could be the case. Have one set of shapes printed with no roof to show infill density after the lab.
Alternatively, put one of each shape at each station to give students practice finding the density of different shapes.
Results
At the very least, students should be able to calculate the different density for each of the shapes to give practice with the concept. Ideally, students will be able to apply their knowledge of density as an intrinsic property of a material and experience some "cognitive dissonance" about the shapes being the same size and same material yet different density. This will force them to challenge their assumption that they are all identical on the inside.
As an extension, have students design their own shapes to print and calculate.Can they design one that will sink? Can they predict the infill needed to do so?