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

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

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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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the density of each box is the quotient between its mass and its volume: \(\rho =\frac{m}{V}\), since all four boxes have the same volume here, you would need to think, out of those items, which one has the biggest mass or weight.

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