Surface Area and Volume

1
Surface Area and Volume
Lesson Intentions
Recap on Surface Area and Volume
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Surface Area and Volume
Which of the following units do we use to
measure.
b) Volume
a) Area
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
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Surface Area and Volume
Volume of a Cuboid
To calculate the Volume of a cuboid, the formula
we use is
Length
X Breadth
X Height
Volume
Height
Breadth
Length
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Surface Area and Volume
Volume of a Cuboid
Calculate the volume of this Cuboid..
4cm
2cm
12cm
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Surface Area and Volume
Volume of a Cube
To calculate the Volume of a cube, the formula we
use is
Length
X Breadth
X Height
Volume
Remember All sides have the same length on a
cube!!!
Height
Breadth
Length
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Surface Area and Volume
Volume of a Cuboid
Calculate the volume of this Cube..
6cm
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Surface Area and Volume
Surface Area
What is Surface Area??
.. The total area of all the sides
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Surface Area and Volume
How many sides do each of the following Shapes
have?...........
3
6
5
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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)
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Surface Area and Volume
Surface Area of a Cuboid
Calculate the surface area of the following
Cuboid..
4mm
5mm
10mm
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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
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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.
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Surface Area and Volume
Volume of a Prism
Calculate the area of the following Prism
25cm2
10cm
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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.
Calculate the area of the face
Step 1.
1
breadth x
height of triangle
Area of Triangle
2
Height of triangle
Step 2.
Calculate the volume of prism
Area x
Height of Prism
Volume
Breadth of triangle
Height of Prism
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Surface Area and Volume
Volume of a Triangular Prism
10cm
3cm
2cm
Calculate the volume of this Prism
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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
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Surface Area and Volume
Surface Area of a Triangular Prism
Calculate the surface area of the triangular
prism.....
5cm
10cm
6cm
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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
? r2 x
height
r
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Surface Area and Volume
Volume of a Cylinder
Calculate the volume of this cylinder........
8cm
5cm
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Surface Area and Volume
Surface Area of a Cylinder
A cylinder is made up of 2 basic shapes.........
....Rectangle
.....Circle......
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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 p x r2

Area of rectangle
2 x p x r x height
radius
Total Surface area 2pr2 2prh
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Surface Area and Volume
Surface Area of a Cylinder
Calculate the total surface area of this
cylinder..........
8cm
5cm