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The question is incomplete, but here goes:

Each small cube has side r

so volume of each small cube is r3

and so volume of 27 small cubes is 27r3

The large cube has side s

so volume of the large cube is s3

The volume of the small cubes must sum to that of the big cube so

s3 = 27r3

So s3/r3 = 27

and so s/r = cuberoot(27) = 3

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Q: How would this question be answered 27 cubes each with a side of length r are arranged so as to form a single larger cube with a volume of 81 if the larger cube has a side of length s then r divided?
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