
Cube Dissection Puzzle/ Model for 3^3 + 4^3 +5^3 = 6^3
thingiverse
This is a classic 8-piece dissection of a 6 x 6 x 6 cube that is used to show 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 specific pieces. Counting itself is a worthwhile exercise for K-5 children. 1. The 3^3 cube is one piece; it's obvious. 2. The 4^3 cube is almost complete, with just one 2x1x1 piece needed. 3. The 5^3 cube requires some effort but is feasible for elementary school children to figure out. It's listed separately to avoid unnecessary confusion. To assemble all eight pieces into a 6^3 cube, follow the figures shown. There are many ways to put them together. Reference: Cundy and Rollett (1961) credit a solution in Eureka, the magazine of the Cambridge Archimedeans, for this dissection.
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