# Question #69959

##### 2 Answers

The brick.

#### Explanation:

**Density** is simply a measure of how **heavy** a unit of volume of a given substance is.

In this regard, the density of a substance is equivalent to the **mass** of exactly

In your case, you must find the substance that has the **greatest mass** for a given volume, let's say

abrickthat has a density of#"1.41 g/mL"# ice, which has a density of#"0.92 g/mL"# liquid water, which has a density of#"1.00 g/mL"# wax, which has a density of#"0.79 g/mL"#

What this tells you is that for

the brick:#"1.41 g"# ice:#"0.92 g"# liquid water:#"1.00 g"# wax:#"0.79 g"#

If **equal volumes** of these substances are compared, you can be certain that the substance that has the **greatest mass** for **highest density**, will have the greatest mass.

In this case, the brick will "win" because it is the heaviest of the three substances when comparing **equal volumes**.

#V color(red)(cancel(color(black)("mL"))) * "1.41 g"/(1color(red)(cancel(color(black)("mL")))) = (1.41 * V)" g " -># the brick

#V color(red)(cancel(color(black)("mL"))) * "0.92 g"/(1color(red)(cancel(color(black)("mL")))) = (0.92 * V)" g " -># ice

#V color(red)(cancel(color(black)("mL"))) * "1.00 g"/(1color(red)(cancel(color(black)("mL")))) = (1.00 * V)" g " -># liquid water

#V color(red)(cancel(color(black)("mL"))) * "0.79 g"/(1color(red)(cancel(color(black)("mL")))) = (0.79 * V)" g " -># wax

As you can see, when **always** have the greatest mass because it has the highest density.

There's an even easier way to visualise it.....

#### Explanation:

If you say density = d, mass =m and volme=v:

so:

and we know v will be constant, so its easy to see that mass varies directly with density for a constant volume.

On that basis, the one with the largest mass will be that one with the largest density. Which is the brick.

Simple!