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Quoc Tran Anh Le Coordinator

27/07/2018 at 06:26
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Four cube with edge length 1 m are cut up into cubes each with edge length 4 cm. If all these cubes were placed one on the right of the other to form a line, find the length of the line, in m.


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    Tôn Thất Khắc Trịnh 28/07/2018 at 16:03

    FOUR cubes with the edge length of 1m will have the total volume of \(4\cdot1^3=4\)(m3)\(=4000000\)(cm3)
    Each smaller cube would have the volume of \(4^3=64\)(cm3)
    So if we cut the four bigger cubes up, we will get \(\dfrac{4000000}{64}=62500\)(smaller cubes)
    Since each of these cubes has the edge length of 4, the length of the line would be \(62500\cdot4=250000\)(cm)\(=2500\)(m)
    Right, I would be ashamed if I converted the units wrong or something, but I'm pretty sure the line would be 2500m
    I could imagine a snake as long as that roaming around in my nightmares...

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