IGCSEMaths: CoreCIEExam QuestionsLengths, Areas & VolumesVolume & Surface Area

Syllabus Edition

First teaching 2023

First exams 2025

|

Volume & Surface Area (CIE IGCSE Maths: Core)

Exam Questions

2 hours28 questions
Easy
Medium
Hard
1
Sme Calculator3 marks

qp11-0580-12-paper-1-nov-2020-cie-igcse-maths

The diagram shows cuboid A and cuboid B.
Cuboid A has the same volume as cuboidspace B.

Calculate the height,h, of cuboid B.

h space equals ...................................... cm

How did you do?

Did this page help you?

2
Sme Calculator2 marks

The length of the edge of a cube is 8 cm.

Calculate the surface area of this cube.

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

How did you do?

Did this page help you?

3
Sme Calculator3 marks

qp16-0580-12-paper-1-oct-nov-2019-cie-igcse-maths

The diagram shows a cuboid measuring 15cm by 12 cm by 4 cm.

Calculate the surface area of the cuboid.

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

How did you do?

Did this page help you?

4
Sme Calculator3 marks

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

qp16-0580-13-paper-1-oct-nov-2019-cie-igcse-maths

Work out the surface area of this cuboid.

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

How did you do?

Did this page help you?

5
Sme Calculator3 marks

These two cuboids have the same volume.

qp7c-0580-33-paper-3-oct-nov-2019-cie-igcse-maths

Find the value of h.

h space= ...................................................

How did you do?

Did this page help you?

6
Sme Calculator1 mark

The diagram shows a solid cuboid made of identical cubes.

q14a-058012-mayjune2019-cie-igcse-maths-core

Work out the number of cubes in the cuboid.

How did you do?

Did this page help you?

7
Sme Calculator2 marks

A closed box in the shape of a cuboid has length 5cm, width 4 cm and height 2cm.

Calculate the volume of the box.

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

How did you do?

Did this page help you?

8
Sme Calculator3 marks

q21-058012-march2019-cie-igcse-maths-core

Calculate the total surface area of the cuboid.

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

How did you do?

Did this page help you?

9
Sme Calculator6 marks

The diagram shows a cuboid.

q1c-058032-march2018-cie-igcse-maths-core

i)
Work out the surface area of this cuboid.
.......................... cm2 [3]
ii)
Work out the volume of this cuboid.
.............................. cm3 [2]
iii)
Write down the dimensions of a different cuboid that has the same volume as this cuboid.

..................... cm by ..................... cm by ..................... cm [1]

How did you do?

Did this page help you?

10
Sme Calculator6 marks

A cuboid measures 5cm by 4 cm by 2cm.

i)
Calculate the volume of this cuboid.

Give the units of your answer.
[3]
ii)
On the 1 cm2 grid, draw an accurate net of this cuboid.
One face has been drawn for you.
qp2cii-0580-31-paper-3-oct-nov-2019-cie-igcse-maths
[3]

How did you do?

Did this page help you?

1a
Sme Calculator3 marks

qp6-0580-31-paper-3-nov-2020-cie-igcse-maths

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.

qp6a-0580-31-paper-3-nov-2020-cie-igcse-maths

How did you do?

1b
Sme Calculator3 marks

Work out the surface area of the prism.

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

How did you do?

1c
Sme Calculator2 marks

Work out the volume of the prism.

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

How did you do?

Did this page help you?

2
Sme Calculator2 marks

A plant pot is a cylinder with radius 15 cm and height 24 cm.

Calculate the volume of the pot.

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

How did you do?

Did this page help you?

3
Sme Calculator2 marks

A cone has radius 4.5 cm and height 10.4 cm.

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

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

How did you do?

Did this page help you?

4a
Sme Calculator1 mark

The diagram shows the net of a triangular prism on a 1cm2 grid.

qp3-0580-31-paper-3-may-2020-cie-igcse-maths

Write down the mathematical name for the type of triangle shown on the grid.

How did you do?

4b
Sme Calculator5 marks
i)
Measure the perpendicular height of the triangle.
............................................ cm [1]
ii)
Calculate the area of the triangle.
.......................................... cm2 [2]
iii)
Calculate the volume of the triangular prism.
.......................................... cm3 [2]

How did you do?

Did this page help you?

5a
Sme Calculator3 marks

A cube has a surface area of 384cm2.

Find the length of one of its sides.

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

How did you do?

5b
Sme Calculator3 marks

qp6c-0580-32-paper-3-may-2020-cie-igcse-maths

The diagram shows a right-angled triangular prism.

Work out the volume of the prism.

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

How did you do?

Did this page help you?

6
Sme Calculator2 marks

The radius of a sphere is 5.2cm.

Work out the surface area of this sphere.

[The surface area, A, of a sphere with radius r is space A space= 4pi r2.]

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

How did you do?

Did this page help you?

7
Sme Calculator2 marks

The volume of a cuboid is 180 cm3.
The base is a square of side length 6cm.

Calculate the height of this cuboid.

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

How did you do?

Did this page help you?

8
Sme Calculator2 marks

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.

How did you do?

Did this page help you?

1
Sme Calculator4 marks

A solid cylinder has radius 3cm and height 4.5cm.

Calculate the total surface area of the cylinder.

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

How did you do?

Did this page help you?

2
Sme Calculator3 marks

A cube has a volume of 1000cm3
.
Calculate the surface area of the cube.

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

How did you do?

Did this page help you?

3
Sme Calculator2 marks

qp4d-0580-32-paper-3-oct-nov-2019-cie-igcse-maths

Another glass is in the shape of a cylinder.
The cylinder has height 15cm and diameter 7cm.

Calculate the volume of the glass.

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

How did you do?

Did this page help you?

4
Sme Calculator6 marks

A cake is made 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.

q7b-058031-octnov2018-cie-igcse-maths-core

i)
Calculate the total volume of the cake.

................................cm3 [3]

ii)
Nora wraps a ribbon around the large cylinder.
The ribbon is 4 cm longer than needed to go all the way around this cylinder.

Calculate the length of this ribbon.

.............................. cm [3]

How did you do?

Did this page help you?

5
Sme Calculator7 marks

The diagram shows a hollow metal pipe in the shape of a cylinder.

q5e-058032-octnov2018-cie-igcse-maths-core

i)
This diagram shows the cross-section of the pipe.
q5ei-058032-octnov2018-cie-igcse-maths-core
Work out the shaded area.
............................cm2 [3]
ii)
The cylinder is 18cm long.

Work out the volume of the metal.
.........................cm3 [1]
iii)
Work out the curved surface area of the outside of the pipe.
.............................cm2 [3]

How did you do?

Did this page help you?