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Surface Area and Volume Lesson Intentions Recap on Surface Area and Volume
Surface Area and Volume
Lesson Intentions
Recap on Surface Area and Volume
Surface Area and Volume
Which of the following units do we use to measure….
a) Area ml
km2
cm3
cm2mm2
m2
m3
cm
litres
b) Volume
** Always show your units at the end of your answer **
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
Surface Area and Volume
Volume of a Cuboid
To calculate the Volume of a cuboid, the formula we use is ……
Volume = Length
Length
X Breadth
Brea
dth
X Height
Heig
ht
Surface Area and Volume
Volume of a Cuboid
Calculate the volume of this Cuboid……..
12cm
4cm
2cm
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
Length Brea
dthH
eig
ht
Remember … All sides have the same length on a cube!!!
Surface Area and Volume
Volume of a Cuboid
Calculate the volume of this Cube……..
6cm
Surface Area and Volume
Surface Area
What is Surface Area??
….. The total area of all the sides
Surface Area and Volume
How many sides do each of the following Shapes have?...........
3 5 6
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)
Surface Area of a Cuboid
Surface Area and Volume
Calculate the surface area of the following Cuboid……..
10mm
5mm4mm
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
Surface Area and Volume
Volume of a Prism
To calculate the volume of any prism the formula is………
Volume = Area x Height
Where area is the area of the
face of the prism….
…..and height is the height of
the prism
Surface Area and Volume
Volume of a Prism
Calculate the area of the following Prism
25cm2
10cm
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
Area of Triangle =1
2breadth x height of triangle
Height of triangle
Breadth of
triangle
Step 2.Calculate the volume of prism
Volume = Area x Height of Prism
Height of P
rism
Surface Area and Volume
Volume of a Triangular Prism
Calculate the volume of this Prism
10cm
2cm
3cm
Surface Area and VolumeSurface Area of a Triangular Prism
A Triangular Prism has two identical triangles and 3 rectangles
A Triangular prism has how many faces?....... 5
The formula to calculate the surface area of a triangular prism is........
Surface Area =(2 x area of triangle) +areas of 3 rectangular faces
Surface Area and VolumeSurface Area of a Triangular Prism
Calculate the surface area of the triangular prism.....
6cm
10cm5cm
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 .......
Volume = Π r2 x height
radius
r
Surface Area and Volume
Volume of a Cylinder
Calculate the volume of this cylinder........
8cm
5cm
Surface Area and Volume
Surface Area of a Cylinder
A cylinder is made up of 2 basic shapes.........
.....Circle..........Rectangle
Surface Area and Volume
Surface Area of a CylinderTo calculate the surface area of a cylinder we need
to calculate 2 parts....
Area of top and bottom circles = 2 x π x r2
+Area of rectangle =2 x π x r x height
Total Surface area = 2πr2 + 2πrh
radius
radius
Surface Area and Volume
Surface Area of a Cylinder
8cm
5cm
Calculate the total surface area of this cylinder..........
