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 SM-Bank 26 MC
During a flood, 12.5 hectares of land was covered by water to a depth of 30 cm.
How many kilolitres of water covered the land?
(1 hectare = 10 000 m² and 1 m³ = 1000 L)
- 3.75 kL
- 37.5 kL
- 37 500 kL
- 37 500 000 kL
Measurement, STD2 M1 2018 HSC 13 MC
A rectangular pyramid has base side lengths
What is the volume of the pyramid in cubic metres?
Measurement, STD2 M1 SM-Bank 4
Steel rods are manufactured in the shape of equilateral triangular prisms.
- Find the volume of the prism (answer correct to 1 decimal place). (2 marks)
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- The mass of steel is 7850 kg/m³. Use this information to find the mass of the steel rod correct to the nearest gram. (2 marks)
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Measurement, STD2 M1 2017 HSC 18 MC
A skip bin is in the shape of a trapezoidal prism, with dimensions as shown.
What is the volume of the skip bin?
Measurement, STD2 M1 2016 HSC 30a
The area of a roof is 30 m². Any rain that falls on the roof flows directly onto a garden.
Calculate how many litres of water flow onto the garden when 20 mm of rain falls on the roof. (2 marks)
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 2004 HSC 23a
The diagram shows the shape of Carmel’s garden bed. All measurements are in
metres.
- Show that the area of the garden bed is 57 square metres. (2 marks)
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- Carmel decides to add a 5 cm layer of straw to the garden bed.
Calculate the volume of straw required. Give your answer in cubic metres. (2 marks)
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- Each bag holds 0.25 cubic metres of straw.
How many bags does she need to buy? (2 marks)
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- A straight fence is to be constructed joining point A to point B.
Find the length of this fence to the nearest metre. (2 marks)
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Measurement, STD2 M1 2010 HSC 17 MC
During a flood 1.5 hectares of land was covered by water to a depth of 17 cm.
How many kilolitres of water covered the land? (1 hectare = 10 000 m²)
- 2.55 kL
- 2550 kL
- 255 000 kL
- 2 550 000 kL
Measurement, STD2 M1 2011 HSC 1 MC
Which of the solids shown is a prism?
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
Measurement, STD2 M1 2013 HSC 25 MC
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 ?
Measurement, STD2 M1 2013 HSC 12 MC
A square pyramid fits exactly on top of a cube to form a solid.
What is the volume of the solid?
- 513 cm³
- 999 cm³
- 1242 cm³
- 1539 cm³