Question

This chart shows the volumes of four different objects.

A 4-column table with 1 row titled volumes of four objects. The first column labeled Object 1 with entry 6 centimeters cubed. Second column labeled Object 2 with entry 8 centimeters cubed. Third column labeled Object 3 with entry 3 centimeters cubed. Fourth column labeled Object 4 with entry 14 centimeters cubed.

If the objects all have the same mass, which object is the most dense?

Object 1
Object 2
Object 3
Object 4

Answer 1

Answer: Object 3 is the most dense

Explanation:

Density $\rho$ is directly proportional to the mass $m$ and inversely proportional to the volume $V$:

$\rho=\frac{m}{V}$

This means that by increasing the volume of the body, its density will decrease.

So taking into account the four objects have the same mass $m$, but different volumes, the object with less volume will be the most dense.

Let's prove it:

Object 1

$\rho_{1}=\frac{m}{6}=0.16 m$

Object 2

$\rho_{2}=\frac{m}{8}=0.125 m$

Object 3

$\rho_{3}=\frac{m}{3}=0.33 m$

Object 4

$\rho_{4}=\frac{m}{14}=0.071 m$

Then:

$\rho_{4}<\rho_{2}<\rho_{1}<\rho_{3}$

Hence, object 3 is the most dense.

Answer 2

Answer:

object 3 is the answer i just took the test

Explanation: