Syllabus Edition

First teaching 2021

Last exams 2024

|

Volume & Surface Area (CIE IGCSE Maths: Extended)

Exam Questions

4 hours50 questions
1
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1 mark

cie-igcse-2020-mary-jun-p2-tz3-q2

The diagram shows a cuboid.
 
Calculate the volume of the cuboid.
 

............................................... cm3

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2
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3 marks

A cuboid measures 5cm by 7cm by 9.5cm.

cie-igcse-2019-oct-nov-p2-tz3-q9

Work out the surface area of this cuboid.

............................................. cm2

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3
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3 marks

cie-igcse-2019-march-p2-q10

Calculate the total surface area of the cuboid.
 

..............................................cm2

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4
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3 marks

The diagram shows a prism.

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Work out the volume of the prism.

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5
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3 marks

Here is a triangular prism.

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Work out the volume of this triangular prism.

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6
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2 marks

The diagram shows a prism.

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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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7
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3 marks

Here is a cuboid.

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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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1
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2 marks

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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2
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3 marks

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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3
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3 marks

cie-igcse-2018-may-jun-2-p2-q14
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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4
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3 marks

Find the volume of a cylinder of radius 5 cm and height 8 cm.
Give the units of your answer.

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5
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4 marks

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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1
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4 marks

cie-igcse-2020-oct-nov-p2-tz1-q18

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, A, of a sphere with radius r is A space equals space 4 pi italic space r squared]


 ........................................... cm squared 

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2
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4 marks

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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3
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5 marks

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.

cie-igcse-2019-oct-nov-p2-tz3-q221

The cylinder is filled completely with water.
The container is turned upside down as shown below.

cie-igcse-2019-oct-nov-p2-tz3-q222

Calculate the depth, d, of the water.
[The volume, V
, of a cone with radius r and height h is V equals 1 third straight pi r squared h.]

d = ............................................. cm

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4
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3 marks

A cone with height 14.8 cm has volume 275 cm3.
 
Calculate the radius of the cone.
[The volume, V, of a cone with radius r and height h is V equals 1 third straight pi r squared h.]
 

............................................... cm

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5
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3 marks

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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