Functional Skills: Capacity

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Capacity

The capacity of a container is the amount of something it can hold.

The difference between capacity and volume is that the capacity of a container is the maximum amount of something it can hold and the volume is just the amount of something in a container. For instance, a beaker with capacity of 750750 ml may have some water in it, which has a volume of 400400 ml.

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Units of Capacity

The most used units for capacity and volume are millilitres (ml) and litres (L).

To change between ml and L, you multiply or divide by 10001000.

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Comparing Capacities or Volumes

Questions may ask you to compare capacities or volumes in a real world context.

Example: Wyatt wants to buy a paddling pool for his back garden, he wants to fill it up with 2500boldsymbol{2500} litres of water.

In a shop there are three different paddling pools available to buy:

Paddling pool A has a capacity of 3000boldsymbol{3000} litres

Paddling pool B has a capacity of 5000boldsymbol{5000} litres

Paddling pool C has a capacity of 2000boldsymbol{2000} litres

Which paddling pool would be the most appropriate for Wyatt to buy?

 

The capacity of paddling pool B is too large, so would be impractical to use.

The capacity of paddling pool C is too small, so all the water wouldn’t fit in the pool.

Paddling pool A appears to be the most appropriate one to buy, as it holds just enough for amount of water Wyatt is going to use.

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Note:

Sometimes capacity is measured in pints (pt) or gallons (gal).

An example of this is the capacity of milk is usually measured in pints in shops.

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Example 1: Capacity and Volume Calculations 

Leo has two containers, AA and BB, which both have a capacity of 1.51.5 L.

Container AA is full of water and container BB has 200200 ml of water in it.

Leo pours half of the water from container AA into container BB.

Work out the volume in container BB, after Leo has poured the water from container AA into it, giving your answer in litres.

[2 marks]

First we need to convert the amount of water in container BB into litres:

200200 ml =0.2=0.2 litres

Then calculate what half of 1.51.5 litres is (volume of water in container AA):

1.5÷2=0.751.5div2=0.75 litres

Finally, calculate the volume in container BB:

0.2+0.75=0.950.2+0.75=0.95 litres

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Example 2: Capacity and Volume Calculations 

In a small pet shop, there are 55 fish tanks.

22 tanks contain 150boldsymbol{150} litres of water and 33 tanks contain 120boldsymbol{120} litres.

Calculate the total amount of water in the fish tanks.

[2 marks]

2×150=3002times150=300 litres

3×120=3603times120=360 litres

Then, add them up to find the total amount of water:

300+360=660300+360=660 litres

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Functional Skills: Capacity Example Questions

Question 1: How many millilitres are there in 4.84.8 L?

[1 mark]

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4.8×1000=48004.8times1000=4800 ml

Question 2: Ewan a has full bottle of wine. It has a capacity of 750750 ml. He wants to fill as many 100100 ml glasses of wine as possible. How many can he fill up completely?

[2 marks]

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100100 goes into 750750 77 times, with 5050 remaining. This means Ewan can fill 77 wine glasses.

Question 3: Toby fills a 22 litre beaker, with 760760 ml of water. Calculate how much space is left in the beaker.

Give your answer in litres.

[2 marks]

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First, convert 760760 ml into litres, 760760 ml =0.76=0.76 litres

Then, subtract this from the original capacity:

 

2−0.76=1.242-0.76=1.24 litres of space remaining

Question 4: Victoria is making a large milkshake and is trying to decide which container would be the best to use.

She is going to use 1.51.5 litres of milk and some flavouring powder.

 

She has three containers in her kitchen:

Capacity of container 11: 11 litre

 

Capacity of container 22: 22 litres

 

Capacity of container 33: 55 litres

 

[1 mark] 

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Container 11 only has a capacity of 11 litre so would be too small for Victoria to make her milkshake in.

 

Container 33 has a capacity of 55 litres, so would probably be impractical to use, especially given the capacity of container 22.

 

Container 22 has a capacity of 22 litres, so seems the most appropriate container to use, given she is going to use 1.51.5 litres of milk.

Question 5: Alexander is making a bowl of punch for his garden party. The amount of punch in the bowl is 88 litres. He has bought lots of plastic cups, each with a capacity of 400400 ml.

How many plastic cups will Alexander be able to fill from his bowl of punch?

[2 marks]

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First convert the amount of punch into millilitres:

 

88 litres =8000=8000 ml

 

Then divide this value by the capacity of the plastic cups:

 

8000÷400=208000div400=20 cups full

Additional Resources

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Exam Tips Cheat Sheet

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Formula Booklet

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Specification Points Covered

EL3.14 – Use and compare measures of capacity using metric or imperial units to the nearest labelled or unlabelled division

EL3.17 – Compare measures of capacity including millilitres and litres

L1.20 – Convert between units of capacity in the same system

Functional Skills: Capacity Worksheet and Example Questions

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Capacity EL3

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Capacity L1

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