A right cylinder has a volume of 50.27 cubic millimetres. Calculate the height of the cylinder if the radius is 2 millimetres.
Give your answer to the nearest whole millimetre. (2 marks)
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Volume, SM-Bank 154
A right cylinder has a volume of 4021 cubic metres. Calculate the height of the cylinder if the radius is 8 cm.
Give your answer to the nearest whole metre. (2 marks)
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Volume, SM-Bank 153
A right cylinder has a volume of 2827 cubic centimetres. Calculate the height of the cylinder if the radius is 10 cm.
Give your answer to the nearest whole centimetre. (2 marks)
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Volume, SM-Bank 152
The 3D shape below is a composite prism consisting of a half-cylinder and a rectangular prism.
Calculate the volume of the of the prism in cubic centimetres, giving your answer correct to one decimal place. (2 marks)
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Volume, SM-Bank 151
A piece of metal in the shape of a rectangular prism has had two cylindrical holes, each with a diameter of 8 millimetres, drilled through it.
Calculate the volume of the remaining metal in cubic millimetres, giving your answer correct to one decimal place. (2 marks)
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Volume, SM-Bank 150
A a skateboard ramp has been constructed using a rectangular prism that has had a quarter-cylinder removed to create the curved surface.
Calculate the volume of the skateboard ramp, giving your answer correct to one decimal place. (2 marks)
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Volume, SM-Bank 149
A a chicken feeder has been constructed using a rectangular prism and a quarter-cylinder.
Calculate the volume of the chicken feeder, giving your answer correct to one decimal place. (2 marks)
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Volume, SM-Bank 148
A large machinery storage shed has been constructed on a property. The shed is made up of a rectangular prism and a half cylinder.
Calculate the volume of the machinery shed, giving your answer to the nearest cubic metre. (2 marks)
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Volume, SM-Bank 147
A concrete half-pipe was constructed in a park. The pipe has a constant thickness 0.5 metres.
- Calculate the volume of the concrete used to create the half-pipe, giving your answer to the nearest cubic metre. (2 marks)
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- Calculate the capacity of the concrete used in kilolitres. (1 mark)
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Volume, SM-Bank 146
Geraldine created a large chocolate mould in the shape of a half cylinder using her 3D printer.
- Calculate the volume of the mould, giving your answer to the nearest cubic centimetre. (2 marks)
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- Calculate the capacity of the mould in litres. (1 mark)
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Volume, SM-Bank 145
Calculate the volume of the figure below in cubic millimetres. Give your answer correct to 1 decimal place. (2 marks)
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Volume, SM-Bank 144
Calculate the volume of the figure below in cubic metres. Give your answer correct to 1 decimal place. (2 marks)
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Volume, SM-Bank 143
Calculate the volume of the quarter cylinder below in cubic centimetres. Give your answer correct to the nearest cubic centimetre. (2 marks)
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Volume, SM-Bank 142
Calculate the volume of the cylinder below in cubic metres. Give your answer correct to 2 decimal places. (2 marks)
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Volume, SM-Bank 141
Calculate the volume of the cylinder below in cubic metres. Give your answer correct to 1 decimal place. (2 marks)
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Volume, SM-Bank 140
Calculate the volume of the cylinder below in cubic centimetres. Give your answer correct to 2 decimal places. (2 marks)
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Volume, SM-Bank 139
Calculate the volume of the cylinder below in cubic metres. Give your answer correct to 2 decimal places. (2 marks)
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Volume, SM-Bank 138
Calculate the volume of the cylinder below in cubic metres. Give your answer correct to the nearest cubic metre. (2 marks)
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Volume, SM-Bank 137
Calculate the volume of the cylinder below in cubic millimetres. Give your answer correct to one decimal place. (2 marks)
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Volume, SM-Bank 136
- What shape best describes the uniform cross-section of this prism? (1 mark)
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- Calculate the volume of the prism in cubic centimetres. (2 marks)
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Volume, SM-Bank 135
The figure below is a prism with a rhombus as the uniform cross-section.
Calculate the value of
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Properties of Geometric Figures, SM-Bank 039
Determine the value of
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Volume, SM-Bank 134
The figure below is a prism with a kite as the uniform cross-section.
Calculate the value of
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Properties of Geometric Figures, SM-Bank 041
A pentagon is pictured below.
- By drawing triangles from one vertex, or otherwise, calculate the sum of the internal angles of a pentagon. (1 mark)
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- Determine the value of
in the pentagon. (2 marks)
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Properties of Geometric Figures, SM-Bank 040
Determine the value of the two unknown angles in the quadrilateral above, giving reasons for your answer. (3 marks)
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Volume, SM-Bank 133
The figure below is a prism with a parallelogram as the uniform cross-section.
Calculate the value of
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Properties of Geometric Figures, SM-Bank 038
Determine the value of
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Volume, SM-Bank 132
- What shape best describes the uniform cross-section of this prism? (1 mark)
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- Calculate the volume of the prism in cubic centimetres. (2 marks)
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Volume, SM-Bank 131
- What shape best describes the uniform cross-section of this prism? (1 mark)
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- Calculate the volume of the prism in cubic metres. (2 marks)
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Properties of Geometric Figures, SM-Bank 037
Determine the value of
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Properties of Geometric Figures, SM-Bank 036
Determine the value of
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Show Worked Solution
Properties of Geometrical Figures, SM-Bank 035
Find the value of
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Properties of Geometrical Figures, SM-Bank 034
Find the value of
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Properties of Geometric Figures, SM-Bank 033
Find the value of
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Properties of Geometric Figures, SM-Bank 032
Find the value of
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Properties of Geometric Figures, SM-Bank 031 MC
The diagram of a quadrilateral is shown below.
Which name below does not refer to the quadrilateral in the diagram?
- quadrilateral
- quadrilateral
- quadrilateral
- quadrilateral
Properties of Geometrical Figures, SM-Bank 030
- Using point
as one vertex, divide the pentagon into the maximum number of triangles possible. (1 mark)
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- Using the angle sum of one triangle, show that the sum of the internal angles of the pentagon is 540°. (2 marks)
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i.
ii.
Show Worked Solution
i.
ii.
Properties of Geometrical Figures, SM-Bank 029
Divide quadrilateral
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Show Worked Solution
Properties of Geometric Figures, SM-Bank 028
Divide quadrilateral
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Show Worked Solution
Properties of Geometric Figures, SM-Bank 044
Complete the table below by placing a tick or a cross in the appropriate box to indicate which properties belong to different quadrilaterals. (3 marks)
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Properties of Geometric Figures, SM-Bank 043
Complete the table below by placing a tick or a cross in the appropriate box to indicate which properties belong to different quadrilaterals. (3 marks)
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Properties of Geometrical Figures, SM-Bank 042
Complete the table below by placing a tick or a cross in the appropriate box to indicate which properties belong to different quadrilaterals. (3 marks)
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Volume, SM-Bank 130
Calculate the volume of the composite prism below in cubic metres. (2 marks)
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Volume, SM-Bank 129
Callum has designed a brick with two identical triangular sections removed as shown in the diagram below.
Calculate the volume of the brick in cubic centimetres. (2 marks)
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Volume, SM-Bank 128
Calculate the volume of the prism below in cubic centimetres. (2 marks)
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Show Worked Solution
Volume, SM-Bank 127
The composite prism below is made up of two right triangular prisms.
Calculate the volume of the composite prism in cubic metres. (2 marks)
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Volume, SM-Bank 126
Calculate the volume of the composite prism below, giving your answer in cubic centimetres. (2 marks)
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Volume, SM-Bank 125
Ben is designing blocks for a children's game. The block below is in the shape of a right prism and the dimensions are shown in the diagram.
Calculate the volume of the block in cubic centimetres. (3 marks)
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Volume, SM-Bank 124
The local council builds a concrete bench in a public park. The bench is in the shape of a prism and the dimensions are shown in the diagram below.
Calculate the volume of the bench in cubic metres. (3 marks)
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Volume, SM-Bank 123
Calculate the volume of the prism below in cubic metres. (2 marks)
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Volume, SM-Bank 122
Calculate the capacity of the prism below in litres. (2 marks)
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Volume, SM-Bank 121
The prism above is a triangular prism.
- Calculate the volume of the prism in cubic centimetres. (2 marks)
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- Calculate the capacity of the prism in litres. (1 mark)
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Volume, SM-Bank 120
The prism above is a rectangular prism.
- Calculate the volume of the prism in cubic metres. (2 marks)
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- Calculate the capacity of the prism in litres. (1 mark)
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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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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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Volume, SM-Bank 117
Convert 2 100 000 millilitres to kilolitres. (2 marks)
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Volume, SM-Bank 116
Convert 7 300 000 litres to megalitres. (2 marks)
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Volume, SM-Bank 115
Convert 2.675 megalitres to kilolitres. (1 mark)
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Volume, SM-Bank 114
Convert 0.025 kilolitres to litres. (1 mark)
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Volume, SM-Bank 113
Convert 9.8 kilolitres to litres. (1 mark)
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