how many whole bricks 6×12×24cm will be sufficient to construct a solid cube of minimum size?
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Answers. Since each brick has a longest dimension of 24 cm, you can't possibly make a cube with a side any shorter than 24 cm. A cube with side 24 cm has a volume of 243=13824 cm3, and each brick has a volume of 6⋅12⋅24=1728 cm3. Now 138241728=8; is it possible to stack 8 of these bricks to form a cube?
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