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Mass 27 g, volume 10 cm³, find the density

Step by step, with the reason for every step · Density, pressure, population density · Foundations

Step by step

The question

Question: find the density when the mass is 27 g and the volume is 10 cm³.

Mass 27 g, volume 10 cm³. Find the density.

1 Write the rule

The rule: density is the mass divided by the volume.

density = massvolume

Density tells us how much mass there is in 1 cm³.

So its unit is g per cm³.

density = the mass of 1 cm³
unit: g ÷ cm³ → g/cm³

2 Put the numbers in

The mass is 27.

The volume is 10.

d = 2710

3 Work it out

Careful!

The mass goes on the top.

The unit, g/cm³, shows it: g on the top.

Careful: not 1027 ✗

27 divided by 10 is 2.7.

density = 2.7 g/cm³

So the density is 2.7 g/cm³.

4 Check

Let's check.

2.7 in each cm³, for 10 cm³: 2.7 times 10 is 27.

That is the mass.

So the answer is right!

2.7 g in each cm³: 2.7 × 10 = 27 g

Let's look back.

First: write the rule.

Then: put the numbers in.

Then: work it out.

Last: check.

Answer
density = 2.7 g/cm³

Your turn

Try this one yourself, then check:

Mass 6 g, volume 12 cm³. Find the density.
Show the answer
density = 0.5 g/cm³

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