Question

write the formulae of area and volume of different solid shapes find out the variables and constants .​

Answer 1

$\huge{ \sf{ \underline{Solution:-}}}$

$\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\sf \: volume \: formula \\ \begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\boxed{\begin{array}{ |c |c| |} \bf \: shapes & \bf \: volume \: formula & \bf \: variables & \\ \\ \rm cuboid & l \times w \times h& l = length,w = width ,h = height \\ \\ \rm cube & v = {a}^{3} &a = side\\ \\ \rm cylinder & v = \pi {r}^{2}h & r = radius,h = height& \rm \\ \\ \rm prism & \rm v = b \times h &b = base,h = height & \\ \\ \rm sphere & v = (\frac{4}{3})\pi {r}^{3} &r = radius \: of \: the \: sphere \\ \\ \rm pyramid & \rm v =( \frac{1}{3} ) \times h \times b & b = area \: of \: the \: base,h = height \: of \: the \: pyramid & \\ \\ \rm \: right \: circular \: cone & \rm \: v = (\frac{1}{3} )\pi {r}^{2}h &r = radius \: of \: the \: circular \: base ,h = height \end{array}}}\end{gathered}\end{gathered}\end{gathered} \end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered} \end{gathered}\end{gathered}\end{gathered}$

Answer 2

Answer:

\huge{ \sf{ \underline{Solution:-}}}

Solution:−

\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\sf \: volume \: formula \\ \begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\boxed{\begin{array}{ |c |c| |} \bf \: shapes & \bf \: volume \: formula & \bf \: variables & \\ \\ \rm cuboid & l \times w \times h& l = length,w = width ,h = height \\ \\ \rm cube & v = {a}^{3} &a = side\\ \\ \rm cylinder & v = \pi {r}^{2}h & r = radius,h = height& \rm \\ \\ \rm prism & \rm v = b \times h &b = base,h = height & \\ \\ \rm sphere & v = (\frac{4}{3})\pi {r}^{3} &r = radius \: of \: the \: sphere \\ \\ \rm pyramid & \rm v =( \frac{1}{3} ) \times h \times b & b = area \: of \: the \: base,h = height \: of \: the \: pyramid & \\ \\ \rm \: right \: circular \: cone & \rm \: v = (\frac{1}{3} )\pi {r}^{2}h &r = radius \: of \: the \: circular \: base ,h = height \end{array}}}\end{gathered}\end{gathered}\end{gathered} \end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered} \end{gathered}\end{gathered}\end{gathered}\end{gathered}

volumeformula

shapes

cuboid

cube

cylinder

prism

sphere

pyramid

rightcircularcone

volumeformula

l×w×h

v=a

3

v=πr

2

h

v=b×h

v=(

3

4

)πr

3

v=(

3

1

)×h×b

v=(

3

1

)πr

2

h

variables

l=length,w=width,h=height

a=side

r=radius,h=height

b=base,h=height

r=radiusofthesphere

b=areaofthebase,h=heightofthepyramid

r=radiusofthecircularbase,h=height