Maths Tricks

Maths Tips Mensuration, Formulas

Here we have listed All the Important terms, Formulas of Mensuration on General Aptitude. Those Maths Tips will help you get maximum marks from this section. This file will be updated regularly, So please bookmark this page on your browser to get latest updates. You can also download the PDF file of the following below.

Rectangle :

Area = lb
Perimeter  = 2(l+b)

Square :

Area = a×a
Perimeter = 4a

Parallelogram

Area = l × h
Perimeter = 2(l+b)

Triangle :

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

Right angle Triangle :

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

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 = (√2/12) 3

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)
Area of four walls = 2h(l+b)

 

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