Important Formulas Mensuration Pdf Download SSC CGL,SSC CPO,IBPS

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Here we are providing you Some important formulas which is used in mensuration which are useful in SSC, Railways and other exams.

Important Formulas Mensuration Pdf Download SSC CGL,SSC CPO,IBPS

Important Formulas Mensuration Pdf Download SSC CGL,SSC CPO,IBPS

 

Rectangle :Important Formulas 

  • Area = lb
  • Perimeter  = 2(l+b)

Square :important Formulas

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  • Area = a×a
  • Perimeter = 4a

Parallelogram – Important Formulas

  • Area = l × h
  • Perimeter = 2(l+b)

Triangle :Important Formulas

  • Area =b×h/2 or √s(s-a)(s-b)(s-c)…………….where s=a+b+c/2

Right angle Triangle :Important Formulas

  • Area =1/2(bh)
  • Perimeter = b+h+d

Isosceles right angle triangle :

  • Area = ½. a2
  • Perimeter = 2a+d……………………….where d=a√2

Equilateral Triangle :

  • Area = √3. a2/4 or  ½(ah)….where h = √3/2
  • Perimeter = 3a

Trapezium :

  • Area = 1/2h(a+b)
  • Perimeter = Sum of all sides

Rhombus :

  • Area = d1 × d2/2
  • Perimeter = 4l

Quadrilateral

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  • Area =1/2 × Diagonal × (Sum of offsets)

Kite :

  • Area  = d1×d2/2
  • Perimeter  = 2 × Sum on non-adjacent sides

Circle :

  • Area =  πr^2 or πd^2/4
  • Circumference = 2πr  or πd
  • Area of sector of a circle = (θπr^2 )/360

Frustum :

  • Curved surface area = πh(r1+r2)
  • Surface area = π( r12+ h(r1+r2) + r22)

Cube :

  • Volume: V = l3
  • Lateral surface area = 4a2
  • Surface Area: S = 6s2
  • Diagonal (d) = √3l

Cuboid :

  • Volume of cuboid: lbh
  • Total surface area = 2 (lb + bh + hl) or 6l2
  • Length of diagonal =√(l^2+b^2+h^2)

Right Circular Cylinder :

  • Volume of Cylinder = π r2 h
  • Lateral Surface Area (LSA or CSA) = 2π r h
  • Total Surface Area = TSA = 2 π r (r + h)
  • Volume of hollow cylinder = π r h(R2 – r2)

Right Circular cone :

  • Volume = 1/3 π r2h
  • Curved surface area: CSA=  π r l
  • Total surface area = TSA = πr(r + l )

Sphere

  • Volume: V = 4/3 πr3
  • Surface Area: S = 4πr2

Hemisphere :

  • Volume = 2/3 π r3
  • Curved surface area(CSA) = 2 π r2
  • Total surface area = TSA = 3 π r2

Prism :

  • Volume = Base area x h
  • Lateral Surface area = perimeter of the base x h

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.

Tetrahedron :

  • Area of its slant sides = 3a2√3/4
  • Area of its whole surface = √3a2 
  • Volume of the tetrahedron = 12√2

Regular Hexagon :

  • Area =  3√3 a2 / 2
  • Perimeter  = 6a

Some other Formula :

  • Area of Pathway running across the middle of  a rectangle = w(l+b-w)
  • Perimeter of Pathway around a rectangle field = 2(l+b+4w)
  • Area of Pathway around a rectangle field =2w(l+b+2w)
  • Perimeter of Pathway inside a rectangle field =2(l+b-4w)
  • Area of Pathway inside a rectangle field =2w(l+b-2w)