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Volume, SM-Bank 119

Prospect dam in Sydney's water catchment area has a capacity of 33 330 ML. The dam's current volume is 30 767 ML.

Calculate the amount of water required for the dam to reach capacity.  Give your answer in kilolitres.  (2 marks)

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\(2\ 563\ 000\ \text{kL}\)

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\(\text{Water to reach capacity}\)

\(=33\ 330-30\ 767=2563\ \text{ML}\)

\(1\ \text{ML}=1000\ \text{kL}\)

\(\therefore\ 2563\ \text{ML}\) \(=2563\times 1000\ \text{kL}\)
  \(=2\ 563\ 000\ \text{kL}\)

Volume, SM-Bank 118

Bronwyn's pool holds 35 000 litres of water. How many kilolitres of water does it take to fill her pool?  (2 marks)

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\(35\ \text{kL}\)

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\(1\ \text{kL}=1000\ \text{L}\)

\(\therefore\ 35\ 000\ \text{L}\) \(=\Bigg(\dfrac{35\ 000}{1\ 000}\Bigg)\ \text{kL}\)
  \(=35\ \text{kL}\)

Volume, SM-Bank 117

Convert 2 100 000 millilitres to kilolitres.  (2 marks)

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\(2.1\ \text{kL}\)

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\(1\ \text{kL}=1000\ \text{L}=1000\times 1000\ \text{mL}=1\ 000\ 000\ \text{mL}\)

\(\therefore\ 2\ 100\ 000\ \text{mL}\) \(=\Bigg(\dfrac{2\ 100\ 000}{1\ 000\ 000}\Bigg)\ \text{kL}\)
  \(=2.1\ \text{kL}\)

Volume, SM-Bank 116

Convert 7 300 000 litres to megalitres.  (2 marks)

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\(7.3\ \text{ML}\)

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\(1\ \text{ML}=1000\ \text{kL}=1000\times 1000\ \text{L}=1\ 000\ 000\ \text{L}\)

\(\therefore\ 7\ 300\ 000\ \text{L}\) \(=\Bigg(\dfrac{7\ 300\ 000}{1\ 000\ 000}\Bigg)\ \text{ML}\)
  \(=7.3\ \text{ML}\)

Volume, SM-Bank 115

Convert 2.675 megalitres to kilolitres.  (1 mark)

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\(2675\ \text{kL}\)

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\(1\ \text{ML}\) \(=1000\ \text{kL}\)
\(\therefore\ 2.675\ \text{ML}\) \(=2.675\times 1000\ \text{kL}\)
  \(=2675\ \text{kL}\)

Volume, SM-Bank 114

Convert 0.025 kilolitres to litres.  (1 mark)

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\(25\ \text{L}\)

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\(1\ \text{kL}\) \(=1000\ \text{L}\)
\(\therefore\ 0.025\ \text{kL}\) \(=0.025\times 1000\ \text{L}\)
  \(=25\ \text{L}\)

Volume, SM-Bank 113

Convert 9.8 kilolitres to litres.  (1 mark)

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\(9800\ \text{L}\)

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\(1\ \text{kL}\) \(=1000\ \text{L}\)
\(\therefore\ 9.8\ \text{kL}\) \(=9.8\times 1000\ \text{L}\)
  \(=9800\ \text{L}\)

Volume, SM-Bank 112 MC

A factory worker pours 800 millilitre bottles of barbecue sauce into a container that can hold 9.6 litres in total.

Which one of these expressions shows how many bottles of barbecue sauce will be needed to fill the container?

  1. \(9.6\times 800\)
  2. \(9600\times 800\)
  3. \(9600\ ÷\ 800\)
  4. \(800\ ÷\ 9.6\)

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\(C\)

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\(\text{9.6 L = 9600 millilitres}\)

\(\text{Bottles of barbecue sauce}=9600\ ÷\ 800\)
   
\(\Rightarrow C\)

Volume, SM-Bank 111

A water cooler has a capacity of 8.55 L.

How many millilitres does the water cooler hold when it is full?  (1 mark)

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\(8550\ \text{mL}\)

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\(\text{Coverting litres to mL:}\)

\(8.55\ \text{L}\times 1000=8550\ \text{mL}\)

Volume, SM-Bank 110

A container has some water in it.
 

 
An extra 300 mL of water is added to the container.

How many millilitres (mL) of water will then be in the container?  (2 marks)

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\(\text{1550 mL}\)

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\(\text{Note: Each division in the jug is 250 mL}\)

\(\text{Water in jug}\) \(=1250+300\)
  \(=1550\ \text{mL}\)

Volume, SM-Bank 109

A water container has 5 litres of water in it.

Kate pours water into her dog's bowl.

She pours the water into the 250 cubic centimetre bowl until it is full.
 


 

How much water is left in the container?  (2 marks)

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\(\text{4750 millilitres}\)

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\(\text{1 cm}^3 = 1\ \text{mL}\Longrightarrow \text{250 cm}^3 = 250\ \text{mL} \)

\(\text{5 litres = 5000 mL}\)

\(\therefore\ \text{Water left}\) \(=5000-250\)
  \(=4750\ \text{millilitres}\)

Volume, SM-Bank 108

A class is making ice-cubes for a science experiment.

One ice-cube container requires 0.35 litres of water to fill it.

How many millilitres of water would a student need to fill up one container?  (1 mark)

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\(350\)

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\(\text{Since there are 1000 mL in 1 litre,}\)

\(\text{Volume}\) \(=0.35\times 1000\)
  \(= 350\ \text{millilitres}\)

Volume, SM-Bank 107 MC

A glass of water containing 255 mL of water is poured into a jug that already contains 1.65 L of water in it.

How much water is now in the jug?

  1. 256.65 mL
  2. 420 mL
  3. 1.805 mL
  4. 1.905 mL
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\(D\)

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\(1.65\ \text{L} + 255\ \text{mL}\) \(=1.65\ \text{L} + 0.255\ \text{L}\)
  \(=1.905\ \text{L}\)

 
\(\Rightarrow D\)

Volume, SM-Bank 106 MC

A petrol container has a capacity of 10.25 L.

How many millilitres does the petrol container hold when it is full?

  1. 1025
  2. 10 025
  3. 10 250
  4. 102 500
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\(C\)

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\(\text{1 litre = 1000 mL}\)

\(\therefore 10.25\ \text{L}\times 1000 = 10\ 250\ \text{mL}\)

\(\Rightarrow C\)

Volume, SM-Bank 103 MC

Carrie has a small container of milk.

It contains 250 millilitres of milk.
 

Carrie buys a pack of 6 of these milk containers.

How many litres of milk are in the pack?

  1. 0.25 litres
  2. 1.5 litres
  3. 2.5 litres
  4. 15 litres
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\(B\)

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\(\text{Note: 1 L = 1000 mL}\)

\(\text{Total volume in pack}\) \(=6\times 250\)
  \(=1500\ \text{mL}\)
  \(=1.5\ \text{litres}\)

 
\(\Rightarrow B\)

Volume, SM-Bank 070

Convert 485 millilitres to litres.  (1 mark)

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\(0.485\ \text{ L}\)

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\(1000\ \text{mL}\) \(=1\ \text{L}\)
\(\therefore\ 485\ \text{mL}\) \(=\Bigg(\dfrac{485}{1000}\Bigg)\text{ L}\)
  \(=0.485\ \text{ L}\)

Volume, SM-Bank 069

Convert 7350 millilitres to litres.  (1 mark)

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\(7.350\ \text{ L}\)

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\(1000\ \text{mL}\) \(=1\ \text{L}\)
\(\therefore\ 7350\ \text{mL}\) \(=\Bigg(\dfrac{7350}{1000}\Bigg)\text{ L}\)
  \(=7.350\ \text{ L}\)

Volume, SM-Bank 068

Convert 60 000 millilitres to litres.  (1 mark)

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\(60\ \text{L}\)

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\(1000\ \text{mL}\) \(=1\ \text{L}\)
\(\therefore\ 60\ 000\ \text{mL}\) \(=\Bigg(\dfrac{60\ 000}{1000}\Bigg)\text{ L}\)
  \(=60\ \text{ L}\)