a solid 10cm cube is cut into 1cm cubes. these smaller cubes are then used to make the largest possible cube that looks solid from the outside but hollow inside. how many of the original 1cm cubes are not used to make the largest cube

Question

26-02-2021
Mathematics

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a solid 10cm cube is cut into 1cm cubes. these smaller cubes are then used to make the largest possible cube that looks solid from the outside but hollow inside. how many of the original 1cm cubes are not used to make the largest cube

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leomata203 leomata203 · Answer 1 · 2021-02-26T06:03:16+01:00

Answer:

If we reconstructed the cube, we would have 1000 smaller cubes. Removing a "central" cube of 8 x 8 x 8 would leave us with the same size cube as before, but with 512 of the cubes removed. This would leave us with 488 cubes, which would be composed of two layers of 100 cubes on the "top" and "bottom" and 8 layers in between. And each of these layers will have (100- 64) cubes.

So 100 + 100 + 8(100- 64) leaves 488 cubes. And the 512 we removed would total to 1000. Pls mark Brainliest!!!