Revision as of 14:43, 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	$2{\pi }rh$	$2{\pi }r(r+h)$ where "h" is the height of cylinder	${\pi }r^{2}h$
CONE	${\pi }rl$ Where l is the slant height	${\pi }r(l+r)$	${\frac {1}{3}}{\pi }r^{2}h$
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 l= ${\sqrt {h^{2}+(r_{1}-r_{2})^{2}}}$	<math>\frac{1}{3}{\pi}h(r_{1}^2+r_{2}^2+r_{1}r_{2})

@@ Line 45: / Line 45: @@
 Where l is the slant height
 |<math>{\pi}r(l+r)</math>
-|<math>1/3{\pi}r^2h</math>
+|<math>\frac{1}{3}{\pi}r^2h</math>
 |-
 |FRUSTUM OF CONE
 |<math>{\pi}(r_{1}+r_{2})l</math>
-|<math>{\sqrt{25}}</math>
+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 l=<math>\sqrt{h^2+(r_{1}-r_{2})^2}</math>
+|<math>\frac{1}{3}{\pi}h(r_{1}^2+r_{2}^2+r_{1}r_{2})
 |}