Step by step
The question
Question: find the density when the mass is 450 g and the volume is 600 cm³.
Mass 450 g, volume 600 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 450.
The volume is 600.
density = 450600
3 Work it out
Careful!
The mass goes on the top.
The unit, g/cm³, shows it: g on the top.
Careful: not 600450 ✗
Both end in a zero: we take one zero off each first.
45 divided by 60 is 0.75.
450 ÷ 600 = 45 ÷ 60
= 0.75
That is 0.75 g/cm³.
density = 0.75 g/cm³
So the density is 0.75 g/cm³.
4 Check
Let's check.
0.75 in each cm³, for 600 cm³: 0.75 times 600 is 450.
That is the mass.
So the answer is right!
0.75 g in each cm³: 0.75 × 600 = 450 g
Let's look back.
First: write the rule.
Then: put the numbers in.
Then: work it out.
Last: check.
Answer
density = 0.75 g/cm³