Difference between revisions of "List of formulae"

From Karnataka Open Educational Resources
Jump to navigation Jump to search
Line 53: Line 53:
 
Where B=<math>\frac{\sqrt{3}a^2}{4}</math> is the area of base  
 
Where B=<math>\frac{\sqrt{3}a^2}{4}</math> is the area of base  
 
|Bh
 
|Bh
 +
Where B=<math>\frac{\sqrt{3}a^2}{4}</math>
 +
|-
 +
|2)SQUARE BASED RIGHT PRISM
 +
|PXh
 +
Where P=4a is the perimeter of base square
 +
|<math>2B+Ph</math>
 +
Where B=<math>a^2</math> is the area of base
 +
|Bh
 +
Where B=<math>a^2</math>
 +
|-
 +
|PYRAMID
 +
1)EQUILATERAL TRIANGLE BASED RIGHT PYRAMID
 +
|<math>\frac{1}{2}Pl</math>
 +
Where P=3a is the perimeter of base triangle
 +
l is the slant height
 +
|<math>B+\frac{1}{2}Pl</math>
 +
Where B=<math>\frac{\sqrt{3}a^2}{4}</math> is the area of base
 +
|<math>\frac{1}{3}Bh
 
Where B=<math>\frac{\sqrt{3}a^2}{4}</math>
 
Where B=<math>\frac{\sqrt{3}a^2}{4}</math>
 
|-
 
|-

Revision as of 21:37, 15 August 2014

Algebraic Identities

Geometric Results

Formulae for commercial arithmetic

Statistical Formulae

Mensuration

Area and Perimeter of Plane Figures

Shape 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
type square root

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

PXh

Where P=3a is the perimeter of base triangle

Where B= is the area of base

Bh

Where B=

2)SQUARE BASED RIGHT PRISM PXh

Where P=4a is the perimeter of base square

Where B= is the area of base

Bh

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

2)SQUARE BASED RIGHT PRISM PXh

Where P=4a is the perimeter of base square

Where B= is the area of base

Bh

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