Volume and Surface Area - Important Formulas

1. CUBOID
   Let length = l, breadth = b and height = h units. Then
   1. Volume = (l x b x h) cubic units.
      
      
   2. Surface area = 2(lb + bh + lh) sq. units.
      
      
   3. Diagonal = l² + b² + h² units.
      
      
2. CUBE
   Let each edge of a cube be of length a. Then,
   
   
   1. Volume = a³ cubic units.
      
      
   2. Surface area = 6a² sq. units.
      
      
   3. Diagonal = 3a units.
      
      
3. CYLINDER
   Let radius of base = r and Height (or length) = h. Then,
   1. Volume = (r²h) cubic units.
      
      
   2. Curved surface area = (2rh) sq. units.
      
      
   3. Total surface area = 2r(h + r) sq. units.
      
      
4. CONE
   Let radius of base = r and Height = h. Then,
   1. Slant height, l = h² + r² units.
      
      
   2. Volume = r²h cubic units.
      
      
   3. Curved surface area = (rl) sq. units.
      
      
   4. Total surface area = (rl + r²) sq. units.
      
      
      
      
5. SPHERE
   Let the radius of the sphere be r. Then,
   1. Volume = r³ cubic units.
      
      
   2. Surface area = (4r²) sq. units.
      
      
      
      
6. HEMISPHERE
   Let the radius of a hemisphere be r. Then,
   1. Volume = r³ cubic units.
      
      
   2. Curved surface area = (2r²) sq. units.
      
      
   3. Total surface area = (3r²) sq. units.
      
      
      Note: 1 litre = 1000 cm³.

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Posted in: Aptitude