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7 years, 9 months ago
7 years, 5 months ago
Hi,
We need to find the cubes that are not painted but which are cut. We know that only surface cubes will be painted. So, the cubes which are not painted will be 5^3 = 125. So, imagine a cube made up of only these 125 smaller cubes. Now, when cut diagonally, the cubes that will be cut in each layer will be 5 and there will be 5 such layers. So, total such cubes will be 25.