 # Understand Metric Units of Capacity

In this worksheet, students practise converting between metric units of capacity. 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

There are a number of units that can be used to describe capacity. We are going to focus on the most common of these which is the metric measurement Litre.

All of the units you will have heard of that have the word Litre in them are based around the base unit litre with other words tacked on to describe their relationships.

Kilolitre - Kilo means 1000 so 1kl = 1000l  (This is rarely used)

Centilitre - Centi means 100 so 1l = 100cl

Millilitre - Milli means 1000 so 1l = 1000ml

Decilitre - Deci means 10 so 1l = 10dl

How to convert.

Step 1: Decide on your conversion factor (i.e. l to ml is a conversion of 1000)

Step 2: Either multiply or divide by this number to get your converted numbers,

Example 1: Convert 45 L to centilitres.

Step 1: Decide on your conversion factor.

1L = 100CL so our conversion factor is 100

Step 2: Multiply or Divide,

You need to think about this a bit. The way I look at this is that a centilitres are smaller than litres, so there will be more of them overall.

As there is less of them, we need to multiply.

45 x 100 = 4500 cl

Example 2: Convert 750 ml to Litres.

Step 1: Decide on your conversion factor.

1000mL = 1 L so our conversion factor is 1000

Step 2: Multiply or Divide,

You need to think about this a bit. The way I look at this is that a Litre is bigger than a cL, so there will be less of them overall.

As there is more of them, we need to divide

750 &div; 1000 = 0.75 L

How many clm are in 1 litre?

How many Litre are in 1 kL?

If I convert 17 cl to ml. Is the answer...

0.17

170

If I convert 3.7 L to cl. Is the answer...

370

0.037

Select if the following conversions are correct.

Select if the following conversions are correct.

Match the word with the correct conversion factor

## Column B

Kilo
1000
Centi
1000
Milli
100
deci
10

Change 25 cL into L.

Just put the number from you answer, don't worry about the units.

Change 4.3 L into mL.

Just put the number from you answer, don't worry about the units.

Change 2.9L into cL.

Just put the number from you answer, don't worry about the units.

• Question 1

How many clm are in 1 litre?

100
EDDIE SAYS
The prefix centi- means 100 so there must be 100cl in a litre
• Question 2

How many Litre are in 1 kL?

1000
EDDIE SAYS
The prefix kilo- means 1000 so there must be 1000 L in a kilolitre
• Question 3

If I convert 17 cl to ml. Is the answer...

170
EDDIE SAYS
We know that cL - mL is a conversion factor of 10 (there are 10mL in 1 cL). The mistake that people make is to divide here. Try to think that mm are smaller than cm so there will be more of them.
• Question 4

If I convert 3.7 L to cl. Is the answer...

370
EDDIE SAYS
We know that cl - L is a conversion factor of 100 (there are 100cL in 1 L). The mistake that people make is to divide here. Try to think that cl are smaller than L so there will be more of them.
• Question 5

Select if the following conversions are correct.

EDDIE SAYS
Did you remember to look at the conversions? mL to L = 1000 kL to L = 1000 cL to L = 100 Only one of the answers fits the pattern.
• Question 6

Select if the following conversions are correct.

EDDIE SAYS
Did you remember to look at the conversions? ml to cl = 10 l to cl = 100 kl to l = 1000 Did you spot the answer that didn't match this pattern?
• Question 7

Match the word with the correct conversion factor

## Column B

Kilo
1000
Centi
100
Milli
1000
deci
10
EDDIE SAYS
The easiest way to remember some of these is to think about other words that share the sound. centi sounds like century (100 years) deci sounds like decade (10 years) milli sounds like millenium (100 years) These little quirks of language can hep you remember the conversions.
• Question 8

Change 25 cL into L.

Just put the number from you answer, don't worry about the units.

0.25
EDDIE SAYS
Did you use the correct conversion factor? 1L= 100cL. Remember that L are larger than cL so we need to have less of them. This means we need to divide.
• Question 9

Change 4.3 L into mL.

Just put the number from you answer, don't worry about the units.

4300
EDDIE SAYS
Did you use the correct conversion factor? 1L = 1000mL. Remember that mL are smaller than L so we need to have more of them. This means we need to multiply.
• Question 10

Change 2.9L into cL.

Just put the number from you answer, don't worry about the units.

290
EDDIE SAYS
Did you use the correct conversion factor? 1L = 100cL. Remember that cL are smaller than L so we need to have more of them. This means we need to multiply.
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