List of formulae

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Algebraic Identities



Geometric Results

Formulae for commercial arithmetic

Statistical Formulae

Mensuration

Area and Perimeter of Plane Figures

Name Perimeter Area
Triangle (a+b+c), where a, b, c are sides

where "h" is the height from any vertex to the opposite side "b"

Circle
Square

Where a is the side of a square

Rectangle

Where l & b are the length & breadth

Trapezium

Where a,b,c and d are the sides

Where a and b are parallel sides of trapezium. And h is the perpendicular distance between two parallel sides.

Parallelogram

Where a & b are the sides of Parallelogram

Where b is base and h is the perpendicular distance between base b and its parallel side.

Rhombus

Where a is the side of a rhombus

Where d1 and d2 are diagonals of rhombus

LSA(CSA) TSA & VOLUME of Solid Figures

Name of the Solid LSA(CSA)in sq.units TSA in sq.units VOLUME in cubic units
CUBE

Where lenght(l)=breadth(b)=height(h)

CUBOID
PRISM

1)EQUILATERAL TRIANGLE RIGHT PRISM

Where P=3a is the perimeter of base triangle

Where B= is the area of base

Where B=

2)SQUARE BASED RIGHT PRISM

Where P=4a is the perimeter of base square

Where B= is the area of base

Where B=

PYRAMID

1)EQUILATERAL TRIANGLE BASED RIGHT PYRAMID

Where P=3a is the perimeter of base triangle
l is the slant height

Where B= is the area of base

Where B=

2)SQUARE BASED RIGHT PYRAMID

Where P=4a is the perimeter of base square
l is the slant height

Where B= is the area of base

Where B=

CYLINDER

Where r is the radius of circular base

where "h" is the height of cylinder

CONE

Where l is the slant height

Where r is the radius of circular base

Where h is the height or depth of the cone

FRUSTUM OF CONE

Where l=

Failed to parse (syntax error): {\displaystyle π{{(r_{1}+r_{2})l+r_{1}^2+r_{2}^2}}}

Where & are the radii of two bases

Where h is the height or depth of the frustum ofcone

SPHERE
HEMISPHERE