Question

this chart shows the volumes of four different objects
volumes of four objects

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 the density formula

Density formula is \(
ho=\frac{m}{V}\), where \(
ho\) is density, \(m\) is mass and \(V\) is volume.

Step2: Analyze the relationship between density and volume when mass is constant

When \(m\) is constant (same mass for all objects), \(
ho\) is inversely proportional to \(V\) (\(
ho\propto\frac{1}{V}\)). That is, the smaller the volume \(V\), the larger the density \(
ho\).

Step3: Compare the volumes of the four objects

We have \(V_1 = 6\mathrm{cm}^3\), \(V_2=8\mathrm{cm}^3\), \(V_3 = 3\mathrm{cm}^3\), \(V_4=14\mathrm{cm}^3\). Since \(V_3

Answer:

Object 3