Puzzle cube, bisection: division by two - edgy surface

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

Link to GeoGebra resource

Created by Linz STEAM Education Research Group - Johannes Kepler University

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