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

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

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Human: 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 demonstrates the equation 3^3 + 4^3 + 5^3 = 6^3. The design highlights unit cubes for young children to count, making it an excellent exercise for kids in grades K-5. The 3^3 cube is clearly one of the pieces; its identity is obvious. The 4^3 cube requires only the addition of a single 2x1x1 piece to complete. Assembling the 5^3 cube can be challenging but is definitely feasible with elementary students. To avoid confusion, it's listed as a separate entity. To assemble all eight pieces into a 6^3 cube, follow the provided figures. There are alternative ways to combine them. Reference Cundy and Rollett give credit for this solution in their book Mathematical Models (Oxford University Press, 1961), page 203. The authors originally attributed it to Eureka, the Cambridge Archimedeans' magazine. https://www.youtube.com/watch?v=CuatPUz2rzE

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