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Volume of Prisms

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by

Mr Mattock

on 4 March 2017

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Transcript of Volume of Prisms

Volume of Prisms
Starter
Example
Find the volume of this trapezoidal prism.
Examples
Find the volume of these prisms
L.O. - Calculate the volume and surface area of prisms.
What is the best way to count the number of cubes in each shape?
Starter
Cuboid - Number of cubes = 2 x 5 x 3
Number of squares = (3 x 2 + 5 x 2 + 3 x 5) x 2
Blank prism - Number of cubes = (5 + 3 + 2 + 1) x 4
Number of squares = 11 x 2 + 18 x 4
Coloured prism - Number of cubes = (3 x 4 + 3) x 3
Number of squares = 15 x 2 + 16 x 3
Examples
Find the surface area and volume of these prisms
Volume = 14 x 8 = 112 cm

3
Example
Find the volume of this trapezoidal prism.
Area of = (14 + 8) x 4 = 44 cm
trapezium

Volume of = 44 x 10 = 440 cm
Prism
1
2
2
Activity
Complete the volume sheet
Plenary
If these shapes were to be fitted together to create a cube, what length would the cube be?
Activities
Activity
Answers

Key
Examples

Worked
Example

Worked
Example

Area of cross-section = 4 x 2 + 2 x 3
= 14 cm
2
3
Activity
Complete the volume sheet
1)
i) Volume = 600 cm

ii) Volume = 240 cm
iii) Volume = 720 cm

iv) Volume = 960 cm
v) Volume = 168 cm

vi) Volume = 180 cm

3
3
3
3
3
3
Plenary
If these shapes were to be fitted together to create a cube, what length would the cube be?
Area of cross-section = 6 x 4
= 24 cm
Volume = 24 x 2 = 48 cm
2
3
Full transcript