Math, asked by Ankityyadav, 1 year ago

Find the capacity of a closed rectangular cistern whose length is 8 m and breadth is 6 m and depth 2.5 m also find the area of the iron sheet required to make the cistern​

Answers

Answered by divyapatel127roi
155

volume \: of \: cuboid = 8 \times 6 \times 2.5 \\  = 120 {cm}^{3}  = capacity \\  \\ area \: of \: iron \: sheet \:  = tsa \\  = 2((8 \times 6) + (6 \times  2.5) + (2.5 \times 8)) \\  = 2 (48 + 15 + 20) \\  = 2(83) \\  = 166 {cm}^{2}

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divyapatel127roi: not even a thank you? ~_~
Answered by Stylishboyyyyyyy
41

\Large{ \mathfrak{ \underline{ Question : }}} \\ \\  \textsf {Find the capacity of a closed rectangular }  \\  \textsf{cistern whose length is 8 m, breadth 6 m }  \\  \textsf{and depth 2.5 m. Also, find the area of the } \\  \textsf{iron sheet requires making the cistern.} \\  \\ \Large{ \mathfrak{ \underline{ Answer : }}} \\  \\ {\underline{\boxed{ \textsf {Capacity of Closed Rectangular Cistern = 120 m} \sf  {}^{3}  }}} \\  {\underline{\boxed{ \textsf {Area of the iron sheet required = 166} \sf  \:  {m}^{2} }}} \\  \\  \Large{ \mathfrak{ \underline{ Solution : }}} \\  \\  \sf Length  \: of \:  Cistern = 8 m \\  \sf Breadth \:  of  \: Cistern = 6 m \\  \sf Height  \: of \:  Cistern = 2.5 m \\  \\  \textsf{Therefore, the capacity of the cistern = Volume of the cistern} \\ \\  \sf Volume  \: of  \: cistern  \\  \qquad \sf= l × b × h \\  \qquad \sf = 8  \times  6  \times  2.5 \\  \qquad \sf = 120 \:  {m}^{3} \\  \\  \textsf{Area of the iron sheet required = Total surface area of the cistern} \\  \\  \sf ∴Total \:  surface \:  area \\  \qquad \sf = 2(lb + bh + hl) \\  \qquad \sf = 2 \{(8 × 6) + (6 × 2.5) + (2.5 × 8) \} \\  \qquad \sf = 2(48 + 15 + 20) \\  \qquad \sf = 2 \times 83 \\ \qquad \sf = 166 \:  {m}^{2}

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