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14 December, 14:36

Four boxes of the same volume are each completely filled with one of the following items:sand, marbles, paperclips, or dice. The order of the boxes from least to greatest mass is as follows: paperclips, dice, marbles, and sand. Which box has the greatest desity?

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  1. 14 December, 14:52
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    The answer is sand.

    A density (D) is a quotient of mass (m) and volume (V):

    D = m/V

    The volume is the same, so let it be 1, so we can easily assess the relationship between density and mass:

    D = m/1

    D = m

    So, when mass increases, density increases, too.

    Therefore:

    paperclips, dice, marbles, sand:

    m1 < m2 < m3 < m4

    d1 < d2 < d3 < d4
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