Puzzle cube, bisection: division by two - edgy surface
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This is an example of a cube puzzle created as a response to the task: Divide the cube into two pieces of equal volume.
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Task: Divide the cube into pieces of equal volume
This task could be integrated into any level of education from primary school. We proposed the task as a contest and supported the student in their explorations. The results varied from two simple prisms to a higher number of very creative shapes.
Here, we present one example, but you can create your own or look for other ideas in our Printables account.
Beware when printing this: if you create puzzle cubes on GeoGebra, they are pretty exact divisions, which can cause problems when assembling/disassembling. It can become very tight. Therefore, for cubes like this, we created an actual division and a centrepiece with a bit cut out.
Age group: Primary; Secondary; University
Skills: creativity; spatial reasoning; measurement; 3d design
Knowledge: volumes; sections; solids; ruled surfaces; integrals
Software: GeoGebra
Created by Linz STEAM Education Research Group - Johannes Kepler University