Question

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 paper clips b. the box filled with sand c. the box filled with dice d. the box filled with marbles

Explanation:

Step1: Recall density formula

Density $
ho=\frac{m}{V}$, where $m$ is mass and $V$ is volume.

Step2: Analyze given volumes

The volumes of the four boxes are the same ($V_{paper - clips}=V_{dice}=V_{marbles}=V_{sand}$).

Step3: Analyze given mass order

The mass order is $m_{paper - clips}

Step4: Determine density order

Since $
ho=\frac{m}{V}$ and $V$ is constant, the density is directly proportional to mass. So $
ho_{paper - clips}<
ho_{dice}<
ho_{marbles}<
ho_{sand}$.

Answer:

B. the box filled with sand