Question

can anyone give me all formula of surface area and volume all

Answer 1

Hey !!




(1) Surface area of cuboid = 2 ( LB + BH + HL ) sq units.



(2) Surface area of cube = 6× (Edge)² sq units .



(3) Surface area of cylindre = 2πR ( H + R ) sq units.


(4) Surface area of hollow cylinder = 2π ( R + r ) ( H + R - r ) sq units.



(5) Surface area of cone = πR ( L + R ) [ L = Slant height of cone ]




(6) Surface area of sphere = (4πR² ) sq units.



(7) Surface area of hemisphere = (3πR²) sq units.




Volume :-

(1) Volume of cuboid = ( L × B × H ) cubic units.


(2) Volume of cylindre = πR²H cubic units.


(3) Volume of cube = (Side)³ cubic units




(4) Volume of Hollow cylinder = πH ( R² - r² ) cubic units.


(5) Volume of cone = 1/3 πR²H cubic units.


(6) Volume of sphere = 4/3 πR³ cubic units.


(7) Volume of hemisphere = 2/3 πR³ cubic units.

Answer 2

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$\bf\Huge\red{\mid{\overline{\underline{ ANSWER }}}\mid }$

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$\Large\fbox{\color{purple}{QUESTION}}$

SURFACE AREA VOLUME FORMULAS

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$\Large\fbox{\color{purple}{ SOLUTION }}$

$\Large\mathcal\green{FRUSTUM}$

$\implies \: tsa = \pi \: l(r1 + r2) + \pi \: {r1}^{2} + \pi {r2}^{2}$

$\implies volume = \frac{1}{3}\pi \: h( {r1}^{2} + r1.r2 + {r2}^{2} )$

$\Large\mathcal\purple{CUBOID}$

$\implies \: lsa = 2(l + b)h \\ \\ \: \implies \: tsa = 2(lb + bl + hl) \\ \\ \implies \: volume \: = l \times b \times h$

$\Large\mathcal\blue{CUBE}$

$\implies \: lsa = {4a}^{2} \\ \\ \implies \: tsa = {6a}^{2} \\ \\ \implies \: volume = {a}^{3}$

$\Large\mathcal\brown{CYLINDER}$

$\implies \: csa = 2\pi \: r \: h \\ \\ \implies \: tsa = 2\pi \: r(r + h) \\ \\ \implies \: volume \: = \pi \: {r}^{2} h</p><p>$

$\Large\mathcal\orange{CONE}$

$\implies \: tsa \: = \: \pi \: r \: (l + r) \\ \\ \implies \: csa \: = \pi \: r \: l\\ \\ \implies \: volume \: = \frac{1}{3} (\pi \: {r}^{2} h)$

$\Large\mathcal\red {SPHERE }$

$\implies \: tsa \: = 4\pi \: {r}^{2} \\ \\ \implies \: csa \: = 4\pi \: {r}^{2} \\ \\ \implies \: volume \: = \frac{4}{3} \: {r}^{3}$

$\Large\mathcal\pink{HEMISPHERE}$

$\implies \: tsa \: =3\pi \: {r}^{2} \\ \\ \implies \: csa \: = 2\pi \: {r}^{2} \\ \\ \implies \: volume \: = \frac{2}{3} \pi \: {r}^{3}$

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