Number of faces after cutting cubes from the corners of a cube

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Given a 5cm sided cube.

If a 1cm cube is cut from each corner, how many faces will the new shape have?

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The new shape will still have a face for each of the 6 faces of the original cube, plus three faces for each of the 8 cubes cut out, for a total of 30 faces.

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$$ 6 \text{(regular faces)} + 3\times 8 \text{(cut faces on each vertex)} = 30 $$