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SSC CGL Mensuration (3D) Formulas and Basics



SSC CGL Mensuration (3D) Important Formulas and Basics

It is very important to have an understanding of Different Formulas of quadrilaterals and circle for you to comfortably attempt Advanced Maths questions which covers a major portion of Quant Section of Competitive Exams. Here we are providing you formulas and shortcuts on how to solve mensuration questions.

Important Mensuration (3D) Formulas

Cube
cube
  • s = side
  • Volume: V = s^3
  • Lateral surface area = 4a2
  • Surface Area: S = 6s^2
  • Diagonal (d) = s√3
Cuboid
cuboid
  • Volume of cuboid: length x breadth x width
  • Total surface area = 2 ( lb + bh + hl)
Right  Circular  Cylinder
cylinder
  • Volume of Cylinder = π r^2 h
  • Lateral Surface Area (LSA or CSA) = 2π r h
  • Total Surface Area = TSA = 2 π r (r + h)
Right Circular Cone
cone
  • l^2 = r^2 + h^2
  • Volume of cone = 1/3 π r^2 h
  • Curved surface area: CSA=  π r l
  • Total surface area = TSA = πr(r + l )
Frustum of a Cone
frustram cone
  • = top radius, R = base radius,
  • h = height, s = slant height
  • Volume: V = π/ 3 (r^2 + rR + R^2)h
  • Surface Area: S = πs(R + r) + πr^2 + πR^2
Sphere
sphere
  • r = radius
  • Volume: V = 4/3 πr^3
  • Surface Area: S = 4π^2
Hemisphere
hemisphere
  • Volume-Hemisphere = 2/3 π r^3
  • Curved surface area(CSA) = 2 π r^2
  • Total surface area = TSA = 3 π r^2
Prism
  • Volume = Base area x height
prism 1
  • Lateral Surface area = perimeter of the base x height
prism 2
Pyramid
pyramid
  • Volume of a right pyramid = (1/3) × area of the base × height.
  • Area of the lateral faces of a right pyramid = (1/2) × perimeter of the base x slant height.
  • Area of whole surface of a right pyramid = area of the lateral faces + area of the base.
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