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Prisms

06 November 2009

Here are two prisms

Its easy

This sounds difficult

Objective Calculate the volume of prisms

Vol. Area End x Length

Which of these shapes are prisms? Describe a

prism. A prism has

Volume Area of the End x The Length

How to find the volume of a cuboid

Volume Base x Width x Height

V B x H x W V 4 x 10 x 2 V 80 cm3

10 cm

2 cm

4 cm

This cuboid has Base 4 cm Height 10

cm Width 2 cm

First fond the area of the end. Its a trapezium

so A (8 4) 2 x 10 A 12 2 x 10 A 6

x 10 A 60 cm2 Now multiply this by the length

to get the volume V 60 x 15 V 900 cm3

4

15

10

8

First fond the area of the end. Its a circle

so A ?r2 A 3.14 x 5 x 5 A 78.5 cm2 Now

multiply this by the length to get the volume V

78.5 60 x 7 V 549.5 cm3

Radius 5 cm

Height 7 cm

Volume Area x Length Area Volume

Length Length Volume Area

V

A

L

- 1000 15 66.7 cm2
- A pr2
- ? r v(A p)
- ? r v(66.7 3.14)
- ? r 4.6 ? dia. 9.2

A tin of soup has a volume of 1000 cm3 and a

height of 15 cm. What is a) the area of its

end b) the diameter?

1. Here is a table that gives the dimensions of

six prisms. Copy and complete the table.

2. This tent is an approximate triangular prism.

What is its volume if it is 1.2 metres high, 1.5

metres wide and 2.4 metres long?

3. Calculate the volume of this tin if it has a

radius of 8 cm and a height of 20 cm

1. Here is a table that gives the dimensions of

six prisms. Copy and complete the table.

2. V Area x Length V 1.2 x 1.5 2 x 2.4

V 2.16 metres3

- V Area x Length
- V pr2 x L
- V 3.14 x 82 x 20
- V 4019.2 cm2
- V 4019.2 millilitres

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