For calculations, Lateral Surface Area means curved surface area. It's called lateral surface area for cube and cuboid and curved surface area for cylinder, cone and hemisphere.

The formulas for calculating Surface Area and Volume are

 

Cube

cube.jpg

  • Lateral Surface Area = 4a 2
  • Total Surface Area = 6a 2
  • Volume = a 3

 

Cuboid

Cuboid.jpg

  • Lateral Surface Area = 2(lh + bh) = 2 (l + b) h
  • Total Surface Area = 2(lb + bh + lh)
  • Volume = l x b x h

 

Cylinder

Cylinder.jpg

  • Curved Surface Area = 2πrh
  • Total Surface Area = 2πrh + πr 2  + πr 2 = 2πrh + 2πr 2  = 2πr(r + h)
  • Volume = πr 2 h

 

Cone

cone.jpg

  • Curved Surface Area = πrl
  • Total Surface Area = πrl + πr 2  = πr(r + l)
  • Volume = 1/3 πr 2 h

 

Hemisphere

Hemisphere.jpg

  • Curved Surface Area = 2πr 2
  • Total Surface Area = 2πr 2 + πr 2  = 3πr 2
  • Volume = 2/3 πr 3

 

Sphere

Sphere.jpg

  • Surface Area = 4πr 2
  • Volume = 4/3 πr 3

Frustum

Frustum.jpg

  • Curved Surface Area = π(r 1 + r 2 )l
  • Total Surface Area =π(r 1 + r 2 )l + πr 1 + πr 2 2
  • Volume = 1/3 πh (r 1 2 + r 2 2 + r 1 r 2 )
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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.