# Surface area of cylinders

## Lesson details

### Key learning points

1. In this lesson, we will learn how to calculate the surface area of cylinders.

### Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

## Video

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## Worksheet

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## Starter quiz

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### 6 Questions

Q1.
This net has been drawn on a centimetre grid. What is the surface area of this cuboid?
216 centimetres squared
54 centimetres squared
96 centimetres squared
Q2.
This cuboid is formed by 1cm unit cubes. What is the surface area of this shape?
16 centimetres squared
20 centimetres squared
80 centimetres squared
Q3.
Xavier says to find the surface area of a cuboid you can find the area of the front, side and base, add them together and double it. Do you agree?
No, you cannot work out the surface area of a cuboid like that.
Correct answer: Yes, that is one way you could work out the surface area of a cuboid.
Q4.
Find the surface area of a cube with edges of length 2m
12 metres squared
4 metres squred
8 metres squared
Q5.
Find the surface area of a 1.5m x 2m x 6m cuboid
18 metres squared
24 metres squared
A different number
Q6.
A cube has a volume of 125 cubic centimetres. What is the surface area?
25 centimetres squared
5 centimetres squared
Not enough information given

## Exit quiz

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### 5 Questions

Q1.
The surface area of a cylinder involves which shapes?
Correct answer: 2 circles and a rectangle
2 circles and an oval
a curved shape and a circle
Just 2 circles
Q2.
Which formula gives the circumference of a circle?
2πr²
πd²
πr²
Q3.
Work out the surface area of this shape. Give your answer in terms of π.
16π cm²
32π cm²
64π cm²
A different value
Q4.
What is the surface area of a cylinder with a radius of 3cm and a height of 12cm? (Give your answer in terms of π)
108π cm²
36π cm²
81π cm²
Q5.
A cylinder is chopped in half as shown. Which statements below are true?
Correct answer: The surface area of the two new 3-D shapes added together is LARGER than the original 3-D shape
The surface area of the two new 3-D shapes added together is LESS than the original 3-D shape