Difference between revisions of "List of formulae"

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*<math>a^3-b^3=(a-b)(a^2+ab+b^2)</math>
 
*<math>a^3-b^3=(a-b)(a^2+ab+b^2)</math>
 
*<math>(a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca</math>
 
*<math>(a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca</math>
*<math>
+
*<math>a^4+a^2b^2+b^4=(a^2+b^2+ab)(a^2+b^2-ab)</math>
*<math>
+
*<math>(a+b+c)^3-a^3-b^3-c^3=3(a+b)(b+c)(c+a)</math>
*<math>
+
*<math>(a+b)(b+c)(c+a)=(a+b+c)(ab+bc+ca)-abc</math><br>
*<math>
+
 
  
 
=Geometric Results=
 
=Geometric Results=

Revision as of 07:25, 17 August 2014

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

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