Question

Surface area and volume formulas of class 10th

Answer 1

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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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$\bf\Large\red{ THANKS \: FOR \: YOUR}$

$\bf\Large\red{ QUESTION \: HOPE \: IT }$

$\bf\Large\red{ HELPS }$

$\Large\mathcal\green{FOLLOW \: ME}$

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Answer 2

Answer:

Name Perimeter Total Surface Area Curved Surface Area Volume Figure

Square 4a a2 —- —- Square

Rectangle 2(w+h) w.h —- —- Rectangle

Parallelogram 2(a+b) b.h —- —- Parallelogram

Trapezoid a+b+c+d 1/2(a+b).h —- —- Trapezoid

Circle 2 π r π r2 —- —- Circle

Ellipse 2π√(a2 + b2)/2 π a.b —- —- Ellipse

Triangle a+b+c 1/2 * b * h —- —- Triangle

Cuboid 4(l+b+h) 2(lb+bh+hl) 2h(l+b) l * b * h Cuboid

Cube 6a 6a2 4a2 a3 Cube

Cylinder —- 2 π r(r+h) 2πrh π r2 h Cylinder

Cone —- π r(r+l) π r l 1/3π r2 h Cone

Sphere —- 4 π r2 4π r2 4/3π r3 Sphere

Hemisphere —- 3 π r2 2 π r2 2/3π r3