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Volume June.notebook

June 16, 2011

volume Volume is a measure of how much space is inside a 3D object. eg, a CUBOID, a Room, a bottle It is measured in

cubic centimetres

cm3

cubic metres

m3

ml and litres

(liquids)

1000cm3 = 1 litre

1000ml = 1 litre

( 1 ml = 1 cm3 )

Same

( 1000 litres = 1 m3 )

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Volume June.notebook

June 16, 2011

In Int2, we find the

volumes of Spheres, Cones, and Prisms Spheres

Cones

Prisms

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Volume June.notebook

June 16, 2011

Volume of PRISMS A PRISM is a 3D shape with a UNIFORM cross section.

* A CUBOID is also a Prism

Ex 1

3


Volume June.notebook

June 16, 2011

Ex 2

Ex 3 Find the area of the triangle and hence the volume of the triangular prism.

12 cm

32 cm

18 cm

Exercise 1 Page 14 Q 1 and 2

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Volume June.notebook

June 16, 2011

Volumes of Cylinders

A

cylinder is just a special type

of prism

( a circular prism )

V = Area x Length but the area is in the form of a circle.

and Area ( of a circle ) = πr

2

r

h

So Volume (of a cylinder ) = πr2h

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Volume June.notebook

Ex. 1

June 16, 2011

Find the volume of this cylinder.

Volume = πr2h 5 cm

12 cm

Ex. 2 Find the volume of this cylinder (a) in cm3 (b) in litres

Exercise 1 Page 15 Q 3 to 9

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Volume June.notebook

June 16, 2011

Volume of a Cone

ex1.

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Volume June.notebook

June 16, 2011

ex2. Find the volume of this cone. r = 6cm h = 10cm

6cm

1 3

2 πr h V = 

10cm

V =

Exercise 2 Page 17 Q 1 - 5

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Volume June.notebook

June 16, 2011

Ex. 1

Ex. 2

If r = 6.5cm, find the volume of the sphere a) in cm3

b) in litres.

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Volume June.notebook

June 16, 2011

Ex. 3 80 cm

This is a hot water tank. It consists of a cylinder  with 2 hemispherical ends.

30 cm

(a) Calculate the Volume      of water it can hold in cm3. (b) How many litres is this ?

Exercise 3 Page 19 Q 1 to 6

Check up

Page 21

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Volume June.notebook

June 16, 2011

11

INT 2 Maths Unit 1.2 Volume  

Notes for INT 2 support Booklets

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