this chart shows the volumes of four different objects. volumes of four objects object 1 object 2 object 3…

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

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

Answer

Explanation:

Step1: Recall density formula

Density $\rho=\frac{m}{V}$, where $m$ is mass and $V$ is volume. Given $m$ is the same for all objects.

Step2: Analyze the relationship

Since $\rho=\frac{m}{V}$ and $m$ is constant, density is inversely - proportional to volume. The object with the smallest volume will have the highest density.

Step3: Compare volumes

We have $V_1 = 6\ cm^3$, $V_2=8\ cm^3$, $V_3 = 3\ cm^3$, $V_4=14\ cm^3$. Among them, $V_3$ is the smallest.

Answer:

Object 3