 # Convert Metric Units of Volume

In this worksheet, students practise converting between metric units of volume. Key stage:  KS 4

GCSE Subjects:   Maths

GCSE Boards:   AQA, Eduqas, Pearson Edexcel, OCR

Curriculum topic:   Ratio, Proportion and Rates of Change, Mensuration

Curriculum subtopic:   Ratio, Proportion and Rates of Change, Units and Measurement

Difficulty level:   ### QUESTION 1 of 10

Converting units of Volume is one area in Maths that students make lots of mistakes as they haven't thought about the conversion factors.

When we are converting from, for example, metres into cm, we know that 1m = 100cm. This leads to the misconception that 1m3 = 100cm3. In reality, 1m3 = 1000000 cm3

???????

Let's look at what's happening here. If we look at a cube that measures 1m on each side. Looking at the areas of these two identical cubes, we can say that

1 m x 1 m x 1 m = 100 cm x 100 cm x 100 cm

1m3 = 1000000 cm3

Is there a trick?

In a way, yes, All you need to do for an area conversion is to find the conversion if it wa a length and then cube it to get the area conversion.

Example 1: Convert 1.4m3 into cm3.

We know that for a length 1m = 100cm

So for an area 1m3 = 1000000cm3.

1.4m3 = 1.4 x 1000000 = 14000000 cm3.

Example 2: Convert 350m3 into km3.

We know that for a length 1km = 1000m

So for an area 1km3 = 1000000000m3.

350m3 = 350 ÷ 1000000000 = 0.00000035 m2.

To convert cm3 into m3, we divide by...

To convert m2 into cm2, we _______ by 10000.

To convert km2 into cm2....

If we convert 175 cm3 into m3. Do we get...

0.000175

175000000

If we convert 4.2 km3 into m3. Do we get...

4200000000

0.0000000042

State if the following conversions are correct or incorrect.

Convert 4.1m3 into cm3.

Convert 354 cm3 into m3.

Convert 4.1 km3 into m3.

Convert 2950000 m3 into km3.

• Question 1

To convert cm3 into m3, we divide by...

EDDIE SAYS
We know that 100 cm = 1m. If we cube these numbers, we get a conversion factor for the volume of 1000000.
• Question 2

To convert m2 into cm2, we _______ by 10000.

EDDIE SAYS
We know that 100 cm = 1m. If we cube these numbers, we get a conversion factor for the volume of 1000000.
• Question 3

To convert km2 into cm2....

EDDIE SAYS
We know that 1000 m = 1km. If we cube these numbers, we get a conversion factor for the volume of 1000000000.
• Question 4

If we convert 175 cm3 into m3. Do we get...

0.000175
EDDIE SAYS
Firstly, we need to know the conversion factor. 1m = 100 cm 1 m3 = 1000000 cm3 Because a m3 is bigger than a cm3, we have less of them so we must divide
• Question 5

If we convert 4.2 km3 into m3. Do we get...

4200000000
EDDIE SAYS
Firstly, we need to know the conversion factor. 1km = 1000 m 1 km3 = 1000000 m3 Because a m3 is smaller than a km3, we have more of them so we must multiply
• Question 6

State if the following conversions are correct or incorrect.

EDDIE SAYS
Did you remember to cube the conversion factors? This is the biggest mistake people make on this question.
• Question 7

Convert 4.1m3 into cm3.

4100000
EDDIE SAYS
Remember to square the length conversion 1 m = 100 cm 1 m3 = 1000000 cm3
• Question 8

Convert 354 cm3 into m3.

0.000354
EDDIE SAYS
Remember to square the length conversion 1 m = 100 cm 1 m3 = 1000000 cm3
• Question 9

Convert 4.1 km3 into m3.

4100000000
EDDIE SAYS
Remember to square the length conversion 1 km = 1000 m 1 km3 = 1000000000 m3
• Question 10

Convert 2950000 m3 into km3.

0.000295
EDDIE SAYS
Remember to square the length conversion 1 km = 1000 m 1 km3 = 1000000000 m3
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