Revision as of 15:14, 15 August 2014

Algebraic Identities

Shape	Perimeter	Area
Triangle	(a+b+c), where a, b, c are sides	${\frac {1}{2}}bh$ where "h" is the height from any vertex to the opposite side "b"
Circle	$2{\pi }r$	${\pi }*r^{2}$
type square root		${\sqrt {25}}$

Name of the Solid	LSA(CSA)in sq.units	TSA in sq.units	VOLUME in cubic units
CYLINDER	$2{\pi }rh$ Where r is the radius of circular base	$2{\pi }r(r+h)$ where "h" is the height of cylinder	${\pi }r^{2}h$
CONE	${\pi }rl$ Where l is the slant height	${\pi }r(l+r)$ Where r is the radius of circular base	${\frac {1}{3}}{\pi }r^{2}h$ Where h is the height or depth of the cone
FRUSTUM OF CONE	${\pi }(r_{1}+r_{2})l$ Where l= ${\sqrt {h^{2}+(r_{1}-r_{2})^{2}}}$	Failed to parse (syntax error): {\displaystyle π{{(r_{1}+r_{2})l+r_{1}^2+r_{2}^2}}} Where $r_{1}$ & $r_{2}$ are the radii of two bases $(r_{1}>r_{2})$	${\frac {1}{3}}{\pi }h(r_{1}^{2}+r_{2}^{2}+r_{1}r_{2})$ Where h is the height or depth of the frustum ofcone
SPHERE	$4{\pi }r^{2}$	$4{\pi }r^{2}$	${\frac {4}{3}}{\pi }r^{3}$
HEMISPHERE	$2{\pi }r^{2}$	$3{\pi }r^{2}$	${\frac {2}{3}}{\pi }r^{3}$

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 |}
-==LSA(CSA) TSA & VOLUME of solid Figures==
+==LSA(CSA) TSA & VOLUME of Solid Figures==
 {|class="wikitable"
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 Where l=<math>\sqrt{h^2+(r_{1}-r_{2})^2}</math>
 |<math>π{{(r_{1}+r_{2})l+r_{1}^2+r_{2}^2}}</math>
-Where r_{1} & r_{2} are the radii of two bases(r_{1}>r_{2})
+Where <math>r_{1}</math> & <math>r_{2}</math> are the radii of two bases<math>(r_{1}>r_{2})</math>
 |<math>\frac{1}{3}{\pi}h(r_{1}^2+r_{2}^2+r_{1}r_{2})</math>
 Where h is the height or depth of the frustum ofcone