A cuboid measures 5cm by 7cm by 9.5 cm.
Work out the surface area of this cuboid.
............................................. cm2
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Syllabus Edition
First teaching 2021
Last exams 2024
A cuboid measures 5cm by 7cm by 9.5 cm.
Work out the surface area of this cuboid.
............................................. cm2
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The diagram shows a cuboid.
..................... cm by ..................... cm by ..................... cm [1]
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The diagram shows cuboid and cuboid .
Cuboid A has the same volume as cuboid.
Calculate the height,, of cuboid .
...................................... cm
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The length of the edge of a cube is 8 cm.
Calculate the surface area of this cube.
............................................. cm2
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A cuboid measures 5 cm by 4 cm by 2 cm.
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The diagram shows a cuboid measuring 15 cm by 12 cm by 4 cm.
Calculate the surface area of the cuboid.
............................................. cm2
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These two cuboids have the same volume.
Find the value of .
= ...................................................
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The diagram shows a solid cuboid made of identical cubes.
Work out the number of cubes in the cuboid.
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A closed box in the shape of a cuboid has length 5 cm, width 4 cm and height 2 cm.
Calculate the volume of the box.
................................. cm3
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Calculate the total surface area of the cuboid.
................................cm2
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The diagram shows a cuboid.
Work out the surface area of this cuboid.
...............................cm2
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A plant pot is a cylinder with radius 15 cm and height 24 cm.
Calculate the volume of the pot.
.......................................... cm3
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A cone has radius 4.5 cm and height 10.4 cm.
Calculate, in terms of , the volume of the cone.
[The volume, , of a cone with radius and height is ]
.......................................... cm3
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The diagram shows the net of a triangular prism on a 1cm2 grid.
Write down the mathematical name for the type of triangle shown on the grid.
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A cube has a surface area of 384 cm2.
Find the length of one of its sides.
............................................ cm
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The diagram shows a right-angled triangular prism.
Work out the volume of the prism.
.......................................... cm3
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The radius of a sphere is 5.2cm.
Work out the surface area of this sphere.
[The surface area, , of a sphere with radius is = 42.]
......................................... cm2
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The volume of a cuboid is 180 cm3.
The base is a square of side length 6cm.
Calculate the height of this cuboid.
....................................... cm
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A cylinder has a radius of 6 cm and a height of 17 cm.
Show that the volume of this cylinder is 1923 cm3, correct to 4 significant figures.
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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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A cylindrical glass has radius 3.6 cm and height 11 cm.
It is filled with water.
Calculate, in cubic centimetres, the volume of water it contains.
........................... cm3
Write your answer to part (a) in litres.
......................... litres
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The diagram shows a right-angled triangular prism.
On the 1 cm2 grid, complete the net of the prism.
One face has been drawn for you.
Work out the surface area of the prism.
.......................................... cm2
Work out the volume of the prism.
.......................................... cm3
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A solid cylinder has radius 3cm and height 4.5cm.
Calculate the total surface area of the cylinder.
.......................................... cm2
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A cube has a volume of 1000 cm3
.
Calculate the surface area of the cube.
......................................... cm2
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Another glass is in the shape of a cylinder.
The cylinder has height 15cm and diameter 7cm.
Calculate the volume of the glass.
............................................. cm3
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Nora makes a cake by putting a small cylinder of cake on top of a large cylinder of cake.
The radius of the large cylinder is 15cm.
The radius of the small cylinder is 8cm.
The height of each cylinder is 10cm.
................................cm3 [3]
.............................. cm [3]
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The diagram shows a hollow metal pipe in the shape of a cylinder.
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