Question

formula vole and surface area

Answer 1

Hi Mate !!


Here's the formula of Volume and surface area :-


✴ Cuboid :-

• Total surface area :- 2 ( lb + bh + hl )

• Lateral surface area :- 2 ( l + b ) × h

• Volume :- l × b × h

• Diagonal :- l² = h² + b²

Where l is lenght of cuboid.
h is height of cuboid.
and b is breadth of Cuboid.




✴ Cube :-

• Total surface area :- 6a²

• Lateral surface area :- 4a²

• Volume :- a³

• Diagonal :- √3 a

Where , a is the edge of cube.




✴ Cylinder :-

• Total surface area :- 2 π r ( r + h )

• Curved surface area :- 2 π r h

• Volume :- π r² h


Where , r is the radius of Cylinder
and h is height of Cylinder.




✴ Cone :-

• Total surface area :- π r ( r + l )

• Curved surface area :- π r l

• Volume :- 1/3 π r² h

• Slant height ( l ) :- l² = h² + r²

Where , r is radius of cone
h is height of cone
and l is Slant height of cone.




✴ Sphere :-

• Surface area :- 4 π r²

• Volume :- 4/3 π r³


Where r is radius of sphere.


✴ Hemisphere :-

• Total surface area :- 3 π r²

• Curved surface area :- 2 π r²

• Volume :- 2/3 π r³


Where r is radius of hemisphere.

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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