Question

Can i get all the formulas for surface area and volume

Answer 1

CUBOID Let length = l, breadth = b and height = h units. Then i.Volume = (l x b x h) cubic units. ii.Surface area = 2(lb + bh + lh) sq. units. iii.Diagonal = l2 + b2 + h2 units. 2.CUBE Let each edge of a cube be of length a. Then, i.Volume = a3 cubic units. ii.Surface area = 6a2 sq. units. iii.Diagonal = 3a units. 3.CYLINDER Let radius of base = r and Height (or length) = h. Then, i.Volume = (r2h) cubic units. ii.Curved surface area = (2rh) sq. units. iii.Total surface area = 2r(h + r) sq. units. 4.CONE Let radius of base = r and Height = h. Then, i.Slant height, l = h2 + r2 units. ii.Volume = r2h cubic units. iii.Curved surface area = (rl) sq. units. iv.Total surface area = (rl + r2) sq. units. 5.SPHERE Let the radius of the sphere be r. Then, i.Volume = r3 cubic units. ii.Surface area = (4r2) sq. units. 6.HEMISPHERE Let the radius of a hemisphere be r. Then, i.Volume = r3 cubic units. ii.Curved surface area = (2r2) sq. units. iii.Total surface area = (3r2) sq. units. Note: 1 litre = 1000 cm3. Some where under roots are missing plz check that, sorry for your inconvenience,

Answer 2

━━━━━━━━━━━━━━━━━━━━━━━━━

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

━━━━━━━━━━━━━━━━━━━━━━━━━

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

SURFACE AREA VOLUME FORMULAS

━━━━━━━━━━━━━━━━━━━━━━━━━

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

$\Large\mathcal\green{FRUSTUM}$

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

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

$\Large\mathcal\purple{CUBOID}$

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

$\Large\mathcal\blue{CUBE}$

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

$\Large\mathcal\brown{CYLINDER}$

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

$\Large\mathcal\orange{CONE}$

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

$\Large\mathcal\red {SPHERE }$

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

$\Large\mathcal\pink{HEMISPHERE}$

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

━━━━━━━━━━━━━━━━━━━━━━━━━

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

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

$\bf\Large\red{ HELPS }$

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

━━━━━━━━━━━━━━━━━━━━━━━━━