1. Surface Area and Volume
Lesson Intentions
Recap on Surface Area and Volume

2. Surface Area and Volume
Which of the following units do we use to measure….
a) Area
b) Volume ml
cm3
mm2
cm2 cm m2
litres m3
km2
** Always show your units at the end of your answer **

3. Surface Area and Volume
Convert each weight to Kilograms :
2000g =
2Kg
7000g =
7Kg
12250g =
12.250Kg
Convert each weight to grams :
9.3 Kg =
9300g
6.458Kg =
6458g
2.43Kg =
2430g
Remember – Converting Kilograms to grams …….
…. Multiply by 1000
Remember – Converting grams to Kilograms …….
….Divide by 1000

4. Surface Area and Volume
Volume of a Cuboid
To calculate the Volume of a cuboid, the formula we use is ……
Volume =
Length
X Breadth
X Height
Height
Breadth
Length

5. Surface Area and Volume
Volume of a Cuboid
Calculate the volume of this Cuboid……..
4cm
2cm
12cm

6. Surface Area and Volume
Volume of a Cube
To calculate the Volume of a cube, the formula we use is ……
Volume =
Length
X Breadth
X Height
Remember … All sides have the same length on a cube!!!
Height
Breadth
Length

7. Surface Area and Volume
Volume of a Cuboid
Calculate the volume of this Cube……..
6cm

8. Surface Area and Volume
What is Surface Area??
….. The total area of all the sides

9. 3 6 5 Surface Area and Volume
How many sides do each of the following Shapes have? 3 6 5

10. Surface Area and Volume
Surface Area of A Cuboid
To calculate the surface area of any cuboid the formula we use is……….
Surface Area =
Area of Front +
Area of Back +
Area of Top +
Area of Bottom +
Area of Side +
Area of Side OR
Surface Area = 2 x (Area of Front + Area of Side + Area of Top)

11. Surface Area and Volume
Surface Area of a Cuboid
Calculate the surface area of the following Cuboid……..
4mm
5mm
10mm

12. Surface Area and Volume
Volume of a Prism
What is a prism?
A prism is an object that when cut has the same cross section throughout

13. Surface Area and Volume
Volume of a Prism
To calculate the volume of any prism the formula is………
Volume =
Area x
Height
…..and height is the height of the prism
Where area is the area of the face of the prism….

14. Surface Area and Volume
Volume of a Prism
Calculate the area of the following Prism
25cm2
10cm

15. Surface Area and Volume
Volume of a Triangular Prism
We often have to work out the area of a cross-section
before we can calculate the volume….
Step 1.
Calculate the area of the face 1
Area of Triangle =
breadth x
height of triangle 2
Height of triangle
Step 2.
Calculate the volume of prism
Volume =
Area x
Height of Prism
Breadth of triangle
Height of Prism

16. Surface Area and Volume
Volume of a Triangular Prism
3cm
10cm
2cm
Calculate the volume of this Prism

17. Surface Area and Volume
Surface Area of a Triangular Prism
A Triangular prism has how many faces? 5
A Triangular Prism has two identical triangles and 3 rectangles
The formula to calculate the surface area of a triangular prism is
Surface Area =
(2 x area of triangle) +
areas of 3 rectangular faces

18. Surface Area and Volume
Surface Area of a Triangular Prism
Calculate the surface area of the triangular prism.....
5cm
10cm
6cm

19. Surface Area and Volume
Volume of a Cylinder
A Cylinder is a circular prism, therefore its volume
can be found by using the same formula for all prisms
Volume =
Area x
height
Since the cross section is a circle the formula reads
radius
Volume =
Π r2 x
height r

20. Surface Area and Volume
Volume of a Cylinder
Calculate the volume of this cylinder
8cm
5cm

21. Surface Area and Volume
Surface Area of a Cylinder
A cylinder is made up of 2 basic shapes
....Rectangle
.....Circle......

22. To calculate the surface area of a cylinder we need
Surface Area and Volume
Surface Area of a Cylinder
To calculate the surface area of a cylinder we need
to calculate 2 parts....
radius
Area of top and bottom circles =
2 x π x r2 +
Area of rectangle =
2 x π x r x height
radius
Total Surface area = 2πr2 + 2πrh

23. Surface Area and Volume
Surface Area of a Cylinder
Calculate the total surface area of this cylinder
8cm
5cm