Question

this chart shows the volumes of four different objects.
volumes of four objects
object 1: 6 cm³, object 2: 8 cm³, object 3: 3 cm³, object 4: 14 cm³
if the objects all have the same mass, which object is the most dense?
○ object 1
○ object 2
○ object 3
○ object 4

Explanation:

Step1: Recall density formula

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

Step2: Analyze constant mass relationship

Since $m$ is the same for all objects, $
ho$ is inversely proportional to $V$: $
ho \propto \frac{1}{V}$.

Step3: Identify smallest volume

From the table, Object 3 has the smallest volume: $V=3\ \text{cm}^3$.

Step4: Relate to highest density

Smallest volume means highest density (inverse proportionality).

Answer:

C. Object 3