Table of shapes volume and surface area, curved surface area, lateral surface area class9 maths
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Answer :-
Formulas of Volume and Surfaces area :-
Cuboid :
Volume of cuboid = lbh cubic units
Total Surface area of cuboid = 2(lb + bh + hl) square units
Curved/Lateral Surface area of cuboid = 2h (l + b) square units
Cube :
Volume of Cube = (a)³ cubic units
Total Surface area of Cube = 6a² square units
Curved/Lateral Surface area of Cube = 4a² square units
Right circular cylinder :
Volume of Right circular cylinder = πr²h cubic units
Total Surface area of Right circular cylinder = 2πr (r + h) square units
Curved/Lateral Surface area of Right circular cylinder = 2πrh square units
Right circular cone :
Volume of Right circular cone = ⅓πr²h cubic units
Total Surface area of Right circular cone = πr (r + l) square units
Curved/Lateral Surface area of Right circular cone = πrl square units
Sphere :
Volume of Sphere = 4/3πr³ cubic units
Total Surface area of Sphere = 4πr² square units
Hemisphere :
Volume of Hemisphere = 2/3πr³ cubic units
Total Surface area of Hemisphere = 3πr² square units
Curved/Lateral Surface area of Hemisphere = 2πr² square units
Formulas of Volume and Surfaces area :-
Cuboid :
Volume of cuboid = lbh cubic units
Total Surface area of cuboid = 2(lb + bh + hl) square units
Curved/Lateral Surface area of cuboid = 2h (l + b) square units
Cube :
Volume of Cube = (a)³ cubic units
Total Surface area of Cube = 6a² square units
Curved/Lateral Surface area of Cube = 4a² square units
Right circular cylinder :
Volume of Right circular cylinder = πr²h cubic units
Total Surface area of Right circular cylinder = 2πr (r + h) square units
Curved/Lateral Surface area of Right circular cylinder = 2πrh square units
Right circular cone :
Volume of Right circular cone = ⅓πr²h cubic units
Total Surface area of Right circular cone = πr (r + l) square units
Curved/Lateral Surface area of Right circular cone = πrl square units
Sphere :
Volume of Sphere = 4/3πr³ cubic units
Total Surface area of Sphere = 4πr² square units
Hemisphere :
Volume of Hemisphere = 2/3πr³ cubic units
Total Surface area of Hemisphere = 3πr² square units
Curved/Lateral Surface area of Hemisphere = 2πr² square units
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Step By Step Solution:
Formulas of Volume and Surfaces area :-
Cuboid :
Volume of cuboid = lbh cubic units
Total Surface area of cuboid = 2(lb + bh + hl) square units
Curved/Lateral Surface area of cuboid = 2h (l + b) square units
Cube :
Volume of Cube = (a)³ cubic units
Total Surface area of Cube = 6a² square units
Curved/Lateral Surface area of Cube = 4a² square units
Right circular cylinder :
Volume of Right circular cylinder = πr²h cubic units
Total Surface area of Right circular cylinder = 2πr (r + h) square units
Curved/Lateral Surface area of Right circular cylinder = 2πrh square units
Right circular cone :
Volume of Right circular cone = ⅓πr²h cubic units
Total Surface area of Right circular cone = πr (r + l) square units
Curved/Lateral Surface area of Right circular cone = πrl square units
Sphere :
Volume of Sphere = 4/3πr³ cubic units
Total Surface area of Sphere = 4πr² square units
Hemisphere :
Volume of Hemisphere = 2/3πr³ cubic units
Total Surface area of Hemisphere = 3πr² square units
Curved/Lateral Surface area of Hemisphere = 2πr² square units
Formulas of Volume and Surfaces area :-
Cuboid :
Volume of cuboid = lbh cubic units
Total Surface area of cuboid = 2(lb + bh + hl) square units
Curved/Lateral Surface area of cuboid = 2h (l + b) square units
Cube :
Volume of Cube = (a)³ cubic units
Total Surface area of Cube = 6a² square units
Curved/Lateral Surface area of Cube = 4a² square units
Right circular cylinder :
Volume of Right circular cylinder = πr²h cubic units
Total Surface area of Right circular cylinder = 2πr (r + h) square units
Curved/Lateral Surface area of Right circular cylinder = 2πrh square units
Right circular cone :
Volume of Right circular cone = ⅓πr²h cubic units
Total Surface area of Right circular cone = πr (r + l) square units
Curved/Lateral Surface area of Right circular cone = πrl square units
Sphere :
Volume of Sphere = 4/3πr³ cubic units
Total Surface area of Sphere = 4πr² square units
Hemisphere :
Volume of Hemisphere = 2/3πr³ cubic units
Total Surface area of Hemisphere = 3πr² square units
Curved/Lateral Surface area of Hemisphere = 2πr² square units
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