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 marbles
B.
the box filled with sand
C.
the box filled with paper clips
D.
the box filled with dice

1 answer

To determine which box has the greatest density, we first need to understand the relationship between mass, volume, and density.

Density is defined as mass divided by volume (Density = Mass/Volume). Since all boxes are of the same volume, the one with the greatest mass will have the highest density.

From the order of mass given:

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

Since sand has the greatest mass, it will have the greatest density among the options listed.

Therefore, the answer is: B. the box filled with sand.