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

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

 

Cuboid

Surface Area and Volume Formulas - Part 2

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

 

Cylinder

Surface Area and Volume Formulas - Part 3

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

 

Cone

Surface Area and Volume Formulas - Part 4

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

 

Hemisphere

Surface Area and Volume Formulas - Part 5

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

 

Sphere

Surface Area and Volume Formulas - Part 6

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

Frustum

Surface Area and Volume Formulas - Part 7

  • 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 )
  1. Chapter 13 Class 10 Surface Areas and Volumes (Term 2)
  2. Serial order wise

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.