List of formulae

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Algebraic Identities

  • Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle *<math> *<math> *<math> =Geometric Results= =Formulae for commercial arithmetic= =Statistical Formulae= =Mensuration= ==Area and Perimeter of Plane Figures== {|class="wikitable" |- |Name |Perimeter |Area |- |Triangle |(a+b+c), where a, b, c are sides |<math>\frac{1}{2}bh}

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