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What's the size of smallest cube containing 5 unit cubes? Is there a way to generalize result for 5?

I'm more interested in proving minimality, than actaully calculating the size, though.

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    Can't think of anything smaller than $2\times 2\times 2$...2011-10-16
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    @J.M Any ideas to prove minimality? How about 7 or 9 cubes?2011-10-16
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    Not really. My only thought was finding the smallest cube larger than the given number of unit cubes...2011-10-16

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The generalization may still be an open problem. See Erich Friedman's Cubes in Cubes.

"For all other values of n < 34, the trivial packing is the best known."

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    "best known" = proven minimal?2011-10-16
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    No, he should have explicitly wrote that if that's what was intended.2011-10-16