00:03
Hello.
00:04
To answer this question, let's start out by talking about how density is defined.
00:09
Density is defined as the mass of a sample divided by its volume.
00:19
In this question, we are told that the mass is constant for these two substances.
00:25
They both have the same mass.
00:32
And we want to know which object will be more dense, one with the larger volume or the smaller volume.
00:39
Let's go ahead and look at this equation.
00:42
Volume is in the denominator.
00:44
So let's just think about two numbers, one and 100.
00:48
One is a smaller number, 100 is a larger number.
00:51
If these were our volume, let's think about what happens.
00:56
When volume is small, so if we're dividing by 1 rather than 100, think about what's going to happen to the density.
01:09
When the volume is small, the density is large, because we're dividing by a small number.
01:20
Similarly, let's say we're dividing by 100 now instead.
01:27
So when the volume is larger, or we'll just say large in this case, density is smaller...