QUESTION IMAGE
Question
section 2 - compare
click the tab on the right hand side and select \same mass\. down below rank the density of the boxes from lowest density to highest density and also fill in the column titled volume.
table 2: lowest to highest density for boxes with same mass
| color of box | mass (kg) | volume (l) | density (kg/l) |
|---|
look at the table above and see if you can see a pattern between the density and the volume. what is the pattern?
for substances of equal mass, the substance with the highest density has a volume that is what?
smaller or bigger
Step1: Recall density formula
The formula for density is $
ho=\frac{m}{V}$, where $
ho$ is density, $m$ is mass and $V$ is volume. When $m$ is constant (same mass for all substances in question), we can analyze the relationship between $
ho$ and $V$.
Step2: Analyze inverse - relationship
From $
ho=\frac{m}{V}$, we can rewrite it as $V = \frac{m}{
ho}$ when $m$ is fixed. This shows that density and volume are inversely proportional. That is, as density increases, volume decreases.
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