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

Which box has the greatest density?
A.
the box filled with sand
B.
the box filled with marbles
C.
the box filled with paper clips
D.
the box filled with dice

1 answer

To determine which box has the greatest density, we need to consider both the mass and volume of the contents in each box. Since all boxes have the same volume, we can deduce that the box with the greatest mass also has the greatest density.

From the information provided, the order of the boxes from least to greatest mass is:

  1. Paper clips (least mass)
  2. Dice
  3. Marbles
  4. Sand (greatest mass)

Since sand has the greatest mass among the four items, we conclude that the box filled with sand has the greatest density.

Thus, the answer is: A. the box filled with sand.