find the capacity of a rectangular cistern whose length is 6 metre breadth 2.5 metre and depth 1.4 m.Also find the area of the iron sheet required to make the cistern
Answers
=21 m³
Sheet= 2(lb+bh+hl)
2(6x2.5+2.5x1.4+1.4x6)
=2(15+3.5+8.4)
=2x 26.9
=53.8 m²
Answer:
\boxed{\boxed{\boxed{\bold{\blue{Given,}}}}}
Given,
\begin{gathered}\bold{Lenght \: (L)= 6 \: m} \\ \\ \bold{Breadth \: (B) = 2.5 \: m }\\ \\ \bold{Height \: (H) = 1.4 \: m}\end{gathered}
Lenght(L)=6m
Breadth(B)=2.5m
Height(H)=1.4m
\bold\pink{Volume \: \: \: \: of \: \: \: \: the \: \: \: \: cistern}Volumeofthecistern
\bold{= L \times B \times H}=L×B×H
\begin{gathered}\bold{ = (6 \times 2.5 \times 1.4) \: {m}^{3}} \\ \\ \bold{= 21 \: {m}^{3} }\end{gathered}
=(6×2.5×1.4)m
3
=21m
3
\bold\purple{Capacity \: \: \: \: of \: \: \: \: the \: \: \: \: cistern}Capacityofthecistern
\begin{gathered} \bold{= 21 \times 1000 \: \: litres} \\ \\ \bold{ = 210000 \: \: litres} \: \: \bold\green{\boxed{ Ans}}\end{gathered}
=21×1000litres
=210000litres
Ans
\begin{gathered}\bold\green{Area \: \: \: of \: \: \: the \: \: \: iron \: \: \: sheet \: \: \: required} \\ \bold\green{to \: \: \: make \: \: \: the \: \: \: cistern = Total \: \: \: }\\ \bold\green{Surface \: \: \: Area \: \: of \: \: the \: \: \: cistern}\end{gathered}
Areaoftheironsheetrequired
tomakethecistern=Total
SurfaceAreaofthecistern
\begin{gathered} \bold{= 2(lb + bh + hl)} \\ \\ \bold{= 2(6 \times 2.5 + 2.5 \times 1.4 + 6 \times 1.4) \: \: {m}^{2} }\\ \\ \bold{= 2(15 + 3.5 + 8.4) \: \: {m}^{2}} \\ \\ = \bold{(2 \times 26.9) \: {m}^{2}} \\ \\ \bold{= 53.8 \: {m}^{2} }\: \: \bold\green{\boxed{ Ans}}\end{gathered}
=2(lb+bh+hl)
=2(6×2.5+2.5×1.4+6×1.4)m
2
=2(15+3.5+8.4)m
2
=(2×26.9)m
2
=53.8m
2
Ans
\boxed{\boxed{\boxed{\bold{I \: \: hope \: \: it \: \: will \: \: help \: \: you.}}}}
Ihopeitwillhelpyou.