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4 Surface Area - Merged

This document provides instructions and questions for a GCSE exam on surface area. Students are asked to calculate the total surface area of various 3D shapes like cuboids, prisms, cylinders. They are given diagrams and dimensions of the shapes and asked to show their working. The last two questions involve calculating the number of paint pots needed to paint multiple objects based on the surface area that each pot can cover.

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bryanmanzi54
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246 views16 pages

4 Surface Area - Merged

This document provides instructions and questions for a GCSE exam on surface area. Students are asked to calculate the total surface area of various 3D shapes like cuboids, prisms, cylinders. They are given diagrams and dimensions of the shapes and asked to show their working. The last two questions involve calculating the number of paint pots needed to paint multiple objects based on the surface area that each pot can cover.

Uploaded by

bryanmanzi54
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Name: ___________________________

GCSE (1 – 9)

Surface Area

Instructions

• Use black ink or ball-point pen.


• Answer all Questions.
• Answer the Questions in the spaces provided
– there may be more space than you need.
• Diagrams are NOT accurately drawn, unless otherwise indicated.
• You must show all your working out.

Information

• The marks for each Question are shown in brackets


– use this as a guide as to how much time to spend on each Question.

Advice

• Read each Question carefully before you start to answer it.


• Keep an eye on the time.
• Try to answer every Question.
• Check your answers if you have time at the end

mathsgenie.co.uk
1 The diagram shows a cuboid.

Find the total surface area of the cuboid.


4 cm

5 cm
12 cm

…...........….........................................
(Total for question 1 is 3 marks)
2 The diagram shows a triangular prism. 13 cm

Find the total surface area of the triangular prism.

5 cm
10 cm

12 cm

…...........….........................................
(Total for question 2 is 3 marks)
3 The diagram shows a triangular prism.
5 cm
Find the total surface area of the triangular prism.

3 cm
12 cm

4 cm

…...........….........................................
(Total for question 3 is 3 marks)
4 The diagram shows a prism. 7 cm
The cross section of the prism is in the shape of 5 cm
a trapezium.
5 cm
Calculate the total surface area of the prism. 6 cm

8 cm
15 cm

…...........….........................................
(Total for question 4 is 4 marks)
5 The diagram shows a prism.

Calculate the total surface area of the prism.

7 cm 3 cm
5 cm

10 cm

8 cm

…...........….........................................
(Total for question 5 is 4 marks)
6 The diagram shows a box.

5 of these boxes are going to be painted. 50 cm

Each pot of paint can cover 6m².

How many pots of paint are needed to paint the 5 boxes?


40 cm

100 cm

…..........................pots
(Total for question 6 is 4 marks)
50 cm
7 The diagram shows a cylindrical tank.
The tank has a top and a bottom.

4 of these tanks are going to be painted.


Each tank has a diameter of 50 cm and a height of 1.5 m.

Each pot of paint can cover 4 m². 1.5 m


How many pots of paint are needed to paint the 4 tanks?

…..........................pots
(Total for question 7 is 4 marks)

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