Surface Area 1
03 March 2008
20:58
Surface
area of cu...
Learning Objectives:
1. Find the surface area of simple shapes involving rectangles and triangles.
Starter: Find the area of the following shapes:
Areas of
shapes
Additional assumed prior knowledge on nets but this should be incorporated into the
explanation to keep to lesson timing.
Shape, Space and Measures Page 1
Surface Area 2
03 March 2008
21:17
Objective 1: The surface area is the sum of the entire area that covers the surface of a 3D object.
We find this by first calculating the area of each individual face and then adding them all together.
Surface area is the sum of the areas of all the faces.
There are two ways of doing this. Take the following example of a cuboid:
We could open up the box to find a net.
The problem then becomes 2D and we can work out each individual area and add them together.
Draw inside each area on smart board. The other method involves looking at the object and
counting the sides. So there are 2 rectangles of 3x4cm, 2 rectangles of 3x6cm and 2 rectangles of
6x4cm on the top and bottom. Therefore our surface area is: 2x 3x4 + 2x 3x6 + 2x 4x6 = 108cm 2
Pupils should find the surface area of the following cuboids.
Shape, Space and Measures Page 2
Surface Area 3
03 March 2008
21:27
The surface area of prisms can be found in the same manner. Now work through the following
example as a group:
Pupils should attempt to find the surface area of the following 2 shapes:
Plenary: Direct questions. Put each on whiteboard and pick individuals (or pupil selector) to
answer:
1.
2.
3.
4.
How do we find the area of a triangle?
The surface area is the ________________ of the areas of all the ___________.
How many faces does a cuboid have?
What is the surface area of a 5cm cube?
Extension work is on P448 of Foundation AQA book. Calculate just the surface area.
Shape, Space and Measures Page 3