Analysis and Approaches SL Practice Paper Book | Page 23

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Areas and Volumes
� For a cube of side length l : 1 . 2 .
2
6l : Total surface area
3 l : Volume
� For a cuboid of side lengths a , b and c : 1 . 2 ( ab �bc � ac)
: Total surface area
2 . abc : Volume
� For a prism of height h and cross-sectional area A : 1 . Ah : Volume
� For a cylinder of height h and radius r : 1 .
2
2�r � 2
�rh : Total surface area
2 . 2� rh : Lateral surface area
3 . �
2 rh
: Volume
� For a pyramid of height h and base area A : 1 .
1
Ah : Volume
3
� For a circular cone of height h and radius r : 1 . 2 .
2 2 l � r � h : Slant height
�r 3 . � rl
4 .
2
1
2
3 rh
� �rl
: Total surface area : Curved surface area
: Volume
� For a sphere of radius r : 1 .
2 .
2
4� r : Total surface area
4 3 r
3
: Volume www . seprodstore . com
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