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# help

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On a 3×3×3 cube, all but one 1×1×1 are visible.

How many 1×1×1 cubes are visible on the surface of a 10×10×10 cube?

Jul 8, 2020

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Everything outside on the surface of the cube is visible.

That means the taking away the outside layer, the inner 8 x 8 x 8 cube would not be visible.

Total number of visible 1 x 1 x 1 cubes = $$10\times 10 \times 10 - 8 \times 8 \times 8 = \boxed{488}$$

Jul 9, 2020