Question

write the formulas( lateral surface area / curved surface area / volume / diagonal) if required ( cube, cuboid, cylinder, cone, sphere and hemisphere)​

Answer 1

Answer:

Cuboid

(a) Volume of cuboid = lbh

(b) Total surface area of cuboid = 2 ( lb + bh + hl )

(c) Lateral surface area of cuboid = 2 h (l + b)

(d) Diagonal of cuboid = √l∧2 *b∧2*h∧2

Cube

(a) Volume of cube = a∧3

(b) Lateral Surface area = 4a∧2

(c) Total surface area of cube = 6a∧2

(d) Diagonal of cube = a √3

Cylinder

(a) Volume of cylinder = πr∧2 h

(b) Curved surface area of cylinder = 2πrh

(c) Total surface area of cylinder = 2πr (r + h)

Cone

(a) Volume of cone = 1/3π r∧2h

(b) Curved surface area of cone = πrl

(c) Total surface area of cone = πr (l + r)

(d) Slant height of cone  = √h∧2 +r∧2

Sphere

(a) Volume of sphere = 4 /3 π∧3

b) Surface area of sphere = 4πr∧2

Hemisphere

(a) Volume of hemisphere = 2 /3 πr ∧3

(b) Curved surface area of hemisphere = 2πr∧2

(c) Total surface area of hemisphere = 3πr∧2

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

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

$\bf\Large\red{ HELPS }$

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