The diagram shows a cuboid.
Calculate the volume of the cuboid.
............................................... cm3
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Syllabus Edition
First teaching 2021
Last exams 2024
The diagram shows a cuboid.
Calculate the volume of the cuboid.
............................................... cm3
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A cuboid measures 5cm by 7cm by 9.5cm.
Work out the surface area of this cuboid.
............................................. cm2
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Calculate the total surface area of the cuboid.
..............................................cm2
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The diagram shows a prism.
Work out the volume of the prism.
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Here is a triangular prism.
Work out the volume of this triangular prism.
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The diagram shows a prism.
The area of the cross section of the prism is 30 cm2.
The length of the prism is 25 cm.
Work out the volume of the prism.
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Here is a cuboid.
The cuboid is 6 cm by 1.5 cm by 1.5 cm.
Work out the total surface area of the cuboid.
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The volume of a cuboid is 180 cm3.
The base is a square of side length 6 cm.
Calculate the height of this cuboid.
....................................... cm
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A water tank in the shape of a cuboid has length 1.5 metres and width 1 metre.
The water in the tank is 60 centimetres deep.
Calculate the number of litres of water in the tank.
....................................... litres
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The diagram shows a solid cuboid with base area 7 cm2.
The volume of this cuboid is 21 cm3.
Work out the total surface area.
......................................... cm2
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Find the volume of a cylinder of radius 5 cm and height 8 cm.
Give the units of your answer.
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A solid cylinder has radius 3 cm and height 4.5 cm.
Calculate the total surface area of the cylinder.
................................................ cm2
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The diagram shows a solid made from a cylinder and a hemisphere, both of radius 7cm.
The cylinder has length 12 cm.
Work out the total surface area of the solid.
[The surface area, , of a sphere with radius r is ]
...........................................
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A pipe is completely full of water.
Water flows through the pipe at a speed of 1.2 m/s into a tank.
The cross-section of the pipe has an area of 6 cm2.
Calculate the number of litres of water flowing into the tank in 1 hour.
.......................................... litres
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A container is made from a cylinder and a cone, each of radius 5 cm.
The height of the cylinder is 12 cm and the height of the cone is 4.8 cm.
The cylinder is filled completely with water.
The container is turned upside down as shown below.
Calculate the depth, , of the water.
[The volume, , of a cone with radius and height is .]
= ............................................. cm
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A cone with height 14.8 cm has volume 275 cm3.
Calculate the radius of the cone.
[The volume, , of a cone with radius and height is .]
............................................... cm
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A pipe is full of water.
The cross-section of the pipe is a circle, radius 2.6 cm.
Water flows through the pipe into a tank at a speed of 12 centimetres per second.
Calculate the number of litres that flow into the tank in one hour.
............................................ litres
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