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Math Help - please help explain!!

  1. #1
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    please help explain!!

    Ok here is the question:

    For a charity event, some students assembled one million small plastic cubes to form a massive cube. How many small cube faces could be seen on one face of the finished massive cubes?

    I thought it would be cube root of 1 000 000 = 100 squared.

    Thats not the answer thats in the book.

    please help me!
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  2. #2
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    Quote Originally Posted by kimki
    Ok here is the question:

    For a charity event, some students assembled one million small plastic cubes to form a massive cube. How many small cube faces could be seen on one face of the finished massive cubes?

    I thought it would be cube root of 1 000 000 = 100 squared.

    Thats not the answer thats in the book.

    please help me!
    If the book does not say 10000, what does it say?

    RonL
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  3. #3
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    it says 60 000
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  4. #4
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    If you have 1,000,000 cubes and you use them to form a monster cube, then you need that,
    (\mbox{side})^3=1,000,000
    That happens when the side got 100 cubes.
    Each face of a cube is 100x100 cubes thus they are
    10,000 cubes visible on one side. But there are 6 side to a cube thus, 60,000 cubes visible.
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  5. #5
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    Quote Originally Posted by ThePerfectHacker
    If you have 1,000,000 cubes and you use them to form a monster cube, then you need that,
    (\mbox{side})^3=1,000,000
    That happens when the side got 100 cubes.
    Each face of a cube is 100x100 cubes thus they are
    10,000 cubes visible on one side. But there are 6 side to a cube thus, 60,000 cubes visible.
    So that implies that the wording of the question that we have been given
    is either wrong or misleading

    RonL
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  6. #6
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    Quote Originally Posted by ThePerfectHacker
    If you have 1,000,000 cubes and you use them to form a monster cube, then you need that,
    (\mbox{side})^3=1,000,000
    That happens when the side got 100 cubes.
    Each face of a cube is 100x100 cubes thus they are
    10,000 cubes visible on one side. But there are 6 side to a cube thus, 60,000 cubes visible.
    Actually, if the problem works like that there are only 50,000 because the bottom face is not visible.

    -Dan
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  7. #7
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    Quote Originally Posted by ThePerfectHacker
    If you have 1,000,000 cubes and you use them to form a monster cube, then you need that,
    (\mbox{side})^3=1,000,000
    That happens when the side got 100 cubes.
    Each face of a cube is 100x100 cubes thus they are
    10,000 cubes visible on one side. But there are 6 side to a cube thus, 60,000 cubes visible.
    Should we take account of triple counting the 8 corner cubes or double
    counting the 12*98 edge cubes?

    RonL
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  8. #8
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    Also, in the question it states how many cubes are visable in ONE FACE. Doesnt that mean one side of the cube? ie 10,000?! 1002
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  9. #9
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    Quote Originally Posted by topsquark
    Actually, if the problem works like that there are only 50,000 because the bottom face is not visible.

    -Dan
    That type of fact only matters in physics type problems.
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  10. #10
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by ThePerfectHacker
    That type of fact only matters in physics type problems.
    Translation: REAL problems.

    -Dan
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