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3

Part of 2015 Paraguay Mathematical Olympiad

Problems(1)

2015 Paraguayan Mathematical Olympiad: Problem 3

Source:

10/10/2015
A cube is divided into 88 smaller cubes of the same size, as shown in the figure. Then, each of these small cubes is divided again into 88 smaller cubes of the same size. This process is done 44 more times to each resulting cube. What is the ratio between the sum of the total areas of all the small cubes resulting from the last division and the total area of the initial cube?
geometry