A deep ocean submarine is constructed in the shape of a sphere.
If the volume of the sphere is 12.1 cubic metres, calculate its diameter in metres, correct to two decimal places. (2 marks)
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Volume, SMB-016
The truncated cone, pictured below, is made by cutting a right cone of height 60 centimetres.
Find the volume of the truncated cone, giving your answer to the nearest cubic centimetre. (4 marks)
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Volume, SMB-015
A funnel is made in the shape of a square cone with radius 9.5 centimetres and height 19.5 centimetres.
Find the volume of the funnel in cubic centimetres, giving your answer correct to 2 decimal places. (2 marks)
Volume, SMB-014
The storage building below is constructed by joining a square pyramid to a cube, with all measurements in metres.
Find the volume of the solid in cubic metres. (3 marks)
Volume, SMB-013
The square pyramid below, has a side measurement of 120 metres and a perpendicular height
Find the volume of the pyramid in cubic metres. (2 marks)
Volume, SMB-012
The solid below is made from joining a rectangular prism to a triangular prism, with all measurements in centimetres.
Find the volume of the solid, giving your answer to the nearest cubic centimetre. (3 marks)
Volume, SMB-011
The cylinder shown below has a diameter of 18 centimetres and a length of 45 centimetres.
Find the volume of the cylinder, giving your answer to the nearest cubic centimetre. (2 marks)
Volume, SMB-010
The solid below is a triangular prism. All measurements are in centimetres.
Find the volume of the solid, in cubic centimetres. (2 marks)
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Volume, SMB-009
An ancient temple, modelled below, was constructed as a trapezoidal prism.
Find the volume of the temple in cubic metres. (2 marks)
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Volume, SMB-008
A jewellery box in the shape of a rectangular prism is pictured below with all measurements in centimetres.
Find the volume of the jewellery box, giving your answer correct to the nearest cubic centimetre. (2 marks)
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Volume, SMB-007
A cannon ball is made out of steel and has a diameter of 23 cm.
Find the volume of the sphere in cubic centimetres (correct to 1 decimal place). (2 marks)
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Volume, SMB-006
A concrete water pipe is manufactured in the shape of an annular cylinder. The dimensions are shown in the diagrams.
Find the approximate volume of concrete needed to make the water pipe, giving your answer in cubic metres correct to two decimal places. (3 marks)
Volume, SMB-005
Two identical spheres fit exactly inside a cylindrical container, as shown.
The diameter of each sphere is 12 cm.
What is the volume of the cylindrical container, to the nearest cubic centimetre? (3 marks)
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Volume, SMB-004
Calculate the volume of earth that must be excavated so that the pool shell below fits exactly into the hole. All measurements are in metres. (3 marks)
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Volume, SMB-003
Steel rods are manufactured in the shape of equilateral triangular prisms.
Find the volume of the prism (answer correct to 1 decimal place). (3 marks)
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Volume, SMB-002
A net is made using four rectangles and two trapeziums. It is folded to form a solid.
What is the volume of the solid, in cm3 ? (3 marks)
Volume, SMB-001
A skip bin is in the shape of a trapezoidal prism, with dimensions as shown.
Find the volume of the skip bin in cubic metres. (3 marks)
Measurement, STD2 M1 2022 HSC 28
A dam is in the shape of a triangular prism which is 50 m long, as shown.
Both ends of the dam,
Calculate the number of litres of water the dam will hold when full. (4 marks)
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Measurement, STD2 M1 2018 HSC 30a
A cylindrical water tank has a radius of 9 metres and a capacity of 1.26 megalitres.
What is the height of the water tank? Give your answer in metres, correct to two decimal places. (3 marks)
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Measurement, STD2 M1 2017 HSC 30e
A solid is made up of a sphere sitting partially inside a cone.
The sphere, centre
Using the formula
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Measurement, STD2 M1 2016 HSC 12 MC
A container is in the shape of a triangular prism which has a capacity of 12 litres. The area of the base is 240 cm².
What is the distance,
- 5 cm
- 20 cm
- 25 cm
- 50 cm
Measurement, STD2 M1 2015 HSC 8 MC
The Louvre Pyramid in Paris has a square base with side length 35 m and a perpendicular height of 22 m.
What is the volume of this pyramid, to the nearest m³?
Measurement, STD2 M1 2005 HSC 23b
A clay brick is made in the shape of a rectangular prism with dimensions as shown.
- Calculate the volume of the clay brick. (1 mark)
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Three identical cylindrical holes are made through the brick as shown. Each hole has a radius of 1.4 cm.
- What is the volume of clay remaining in the brick after the holes have been made? (Give your answer to the nearest cubic centimetre.) (3 marks)
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- What percentage of clay is removed by making the holes through the brick? (Give your answer correct to one decimal place.) (1 mark)
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Measurement, STD2 M1 2014 HSC 27c
The base of a water tank is in the shape of a rectangle with a semicircle at each end, as shown.
The tank is 1400 mm long, 560 mm wide, and has a height of 810 mm.
What is the capacity of the tank, to the nearest litre? (4 marks)
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Measurement, STD2 M1 2012 HSC 6 MC
What is the volume of this rectangular prism in cubic centimetres?
- 6 cm³
- 600 cm³
- 60 000 cm³
- 6 000 000 cm³