[JMO 2008 B1 Edited] Tamsin has a selection of cubical boxes whose internal dimensions are whole numbers of centimetres, that is, 1cm 1cm 1cm, 2cm 2cm 2cm, and so on. What is the side length of the smallest of these boxes in which Tamsin could fit ten rectangular blocks each measuring 3cm 2cm 1cm without the blocks extending outside the box?
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Junior Mathematical Olympiad 2008 (2008)
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