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Cube Dissection Puzzle/ Model for 3^3 + 4^3 +5^3 = 6^3

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Cube Dissection/Puzzle/ Model for 3^3 + 4^3 +5^3 = 6^3
This is a classic 8-piece dissection of a 6 x 6 x 6 cube that is used to show the
3^3 + 4^3 +5^3 = 6^3. This design highlights the unit cubes for young children to count the number of unit cubes in a specific pieces. The counting itself is a worthwhile exercise for K-5 children, I think.

The 3^3 cube is one of the piece; so it is obvious.

The 4^3 cube is almost there. One only needs to put in the 2x1x1 piece.

The 5^3 cube is a bit challenging but is definitely feasible with elementarychildren. I have listed the 5^3 cube as a separate thing to avoid unnecessary confusion.
To assemble all the 8 pieces into a 6^3 cube, please follow the figures. Of course, there are other ways to put them together.

Cundy, H. M. & Rollett, A. P. (1961). Mathematical models. London: Oxford University Press. (p. 203). The authors gave credit a solution in Eureka, the magazine of the Cambridge Archimedeans.

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  • 3D file format: STL
  • Publication date: 2018/07/23 at 17:10


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STEAM educator, learning from and working with K-12 STEAM teachers to explore new ideas of teaching and engagement. I firmly believe ART is at the core of STEM learning or all human learning! I owe my ideas and designs to the hundreds of K-12 children and teachers and university professors I have had the pleasure of working with, in multiple disciplines-- math, science,engineering language arts, social studies, early childhood education and more! All mistakes, of course, are mine! There is no warranty or liability whatsoever implied or explicit behind the designs or ideas. They are all posted for their potential educational values.

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