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?
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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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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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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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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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?
- 256.65 mL
- 420 mL
- 1.805 mL
- 1.905 mL
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?
- 1025
- 10 025
- 10 250
- 102 500
Volume, SM-Bank 105 MC
Karen is filling her pool with water.
Which unit would be the most appropriate to measure the volume of water she needs to fill the pool?
- kilograms
- kilojoules
- kilolitres
- kilometres
Volume, SM-Bank 104 MC
Fiona is a nurse who is administering vaccines to patients using a needle.
Which unit would be the most appropriate to measure the volume of vaccine she needs to inject?
- milligrams
- joules
- millimetres
- millilitres
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?
- 0.25 litres
- 1.5 litres
- 2.5 litres
- 15 litres
Volume, SM-Bank 102
Sketch the uniform cross-section of the prism below? (1 mark)
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Volume, SM-Bank 101
Sketch the uniform cross-section of the prism below? (1 mark)
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Volume, SM-Bank 100
Sketch the uniform cross-section of the prism below? (1 mark)
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Volume, SM-Bank 099
Volume, SM-Bank 098 MC
Volume, SM-Bank 097 MC
May looked at a stack of cubes from the direction of the arrow, shown in the diagram below.
Which is May's view of the cubes?
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| A. | B. | C. | D. |
Show Worked Solution
Volume, SM-Bank 096
Guy builds a brick structure that is pictured below.
The structure is 7 bricks high, 7 bricks wide and 6 bricks deep.
The structure is solid brick but has a hole that goes from one side to the other which is 3 bricks high and two bricks wide, as shown in the diagram.
How many bricks are in the stack? (2 marks)
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Volume, SM-Bank 095
A horse trough is in the shape of a rectangular prism, pictured below.
- What is the volume of the prism in cubic centimetres? (2 marks)
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- What is the capacity of the horse trough in litres? (1 mark)
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Volume, SM-Bank 094
Two identical solid cubes are placed at the bottom of a fish tank.
The fish tank is then completely filled, as shown below.
What is the volume of the water that surrounds the cubes?
Give your answer in cubic centimetres. (2 marks)
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Volume, SM-Bank 093
Two views of a trapezoidal prism are shown below.
Each square on this grid has an area of one square centimetre.
The vertical edges of the prism are 5 centimetres.
- What is the area of the shaded cross-section in square centimetres? (2 marks)
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- What is the volume of the prism in cubic centimetres? (2 marks)
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a.
| b. | ||
Volume, SM-Bank 092
Two views of a trapezoidal prism are shown below.
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Each square on this grid has an area of one square centimetre.
The vertical edges of the prism are 4 centimetres.
- What is the area of the shaded cross-section in square centimetres? (2 marks)
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- What is the volume of the prism in cubic centimetres? (2 marks)
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a.
| b. | ||
Properties of Geometric Figures, SM-Bank 026
Determine the value of
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Properties of Geometric Figures, SM-Bank 025
- Determine the value of
, giving reasons for your answer. (2 marks)
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- Determine the value of
, giving reasons for your answer. (2 marks)
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a.
b.
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a.
b.
Properties of Geometric Figures, SM-Bank 024
An isosceles triangle is pictured below.
Determine the value of
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Properties of Geometric Figures, SM-Bank 023
Find the value of
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Properties of Geometric Figures, SM-Bank 022
The diagram below shows an isosceles triangle.
Find the value of
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Properties of Geometric Figures, SM-Bank 021
Find the value of
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Properties of Geometric Figures, SM-Bank 020
Find the value of
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Properties of Geometric Figures, SM-Bank 019
Find the value of
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Properties of Geometric Figures, SM-Bank 011
In the diagram,
- On the diagram, label the alternate angles to
and . (1 mark)
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- Using part (a), show that the sum of internal angles of a triangle equals 180°. (2 marks)
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a.
b.
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a.
b.
Volume, SM-Bank 091
An ancient building has the shape of a trapezoidal prism.
The shaded side is a trapezium.
What is the volume of the building in m³ ? (2 marks)
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Volume, SM-Bank 090
A rectangular trough in a paddock provides water for horses.
Its measurements can be seen below:
- Calculate the volume of the trough in cubic metres. (2 marks)
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Given that one cubic metre holds 1000 litres of water, what is the capacity of the trough in litres? (1 mark)
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Properties of Geometrical Figures, SM-Bank 018
The diagram below shows a right-angled triangle.
Determine the value of
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Properties of Geometrical Figures, SM-Bank 017
The diagram below shows an isosceles triangle.
Determine the value of
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Properties of Geometrical Figures, SM-Bank 016
The diagram below shows an isosceles triangle.
Determine the value of
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Volume, SM-Bank 089
A large sculpture is made in the shape of a cube.
The total length of all of its edges is 60 metres.
What is the volume of the cube in cubic metres? (2 marks)
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Properties of Geometrical Figures, SM-Bank 015
The diagram below shows an isosceles triangle.
Determine the value of
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Properties of Geometrical Figures, SM-Bank 014
The diagram below shows an isosceles triangle.
Determine the value of
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Volume, SM Bank 088 MC
Alan is moving house and is packing his belongings in rectangular cardboard boxes.
The height of each box is 0.5 metres.
Which box has a volume of 0.12 cubic metres?
Show Worked Solution
Properties of Geometrical Figures, SM-Bank 013
In the right-angled triangle below, determine the value of
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Volume, SM-Bank 087 MC
Properties of Geometrical Figures, SM-Bank 012
In the right-angled triangle below, determine the value of
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Volume, SM-Bank 086 MC
Volume, SM-Bank 085 MC
Volume, SM-Bank 084 MC
Volume, SM-Bank 083 MC
Volume, SM-Bank 082 MC
Which of the following 3D shapes is not a prism?
| A. | B. | C. | D. |
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Volume, SM-Bank 081 MC
Volume, SM-Bank 080
Volume, SM-Bank 079 MC
A sculpture is pictured from 3 different angles below:
The sculpture is in the shape of
- a trapezium and a circle.
- a trapezium and a cylinder.
- a sphere and a prism.
- a cylinder and a prism.
Volume, SM-Bank 078 MC
Lucy went camping.
The tent she pitched is shown below.
The 3-D shape Lucy's tent most resembles is:
- a rectangular prism
- a triangular pyramid
- a rectangular pyramid
- a triangular prism
Volume, SM-Bank 077 MC
Volume, SM-Bank 076 MC
Rory made a tower using cylinders.
Which of these shows Rory's tower from above?
| A. | B. | C. | D. |
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Volume, SM-Bank 075 MC
Volume, SM-Bank 075 MC
Volume, SM-Bank 074 MC
Volume, SM-Bank 073 MC
Which of the following 3-D objects is a prism?
Show Worked Solution
Volume, SM-Bank 072 MC
Volume, SM-Bank 071 MC
Properties of Geometrical Figures, SM-Bank 010
A six sided figure is drawn below.
What is the sum of the six interior angles? (2 marks)
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