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Well, here's how I would do it:
1. 56 x 10 = 560
2. 560 x 5 =2800
3. 56 x 6 = 336
4. 2800 + 336 = 3136 (answer to 56 x 56, or 562)
5. 3136 x 10 = 31,360
6. 31,360 x 5 = 156,800
7. 3136 x 6 = 18,816
8. 156,800 + 18,816 = 175,616 (answer to 56 x 56 x 56, or 562 x 56, or 563)
(Yes, I did this in my head all the way through, and the answer is correct)
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The question could ask for the perfect cube of 56, which equals 563 = 175616. However, it can also mean to ask whether 56 can be a cube, which could be answered by 56(1/3), which cubed is 56. Since 56(1/3) is an irrational number, it is impossible to construct this perfectly, but one can make arbitrary precise approximations, close to 3.825862365...
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