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Volume and Surface Area of Solids — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsVolume and Surface Area of Solids4 Marks
Question
Find the capacity of a rectangular cistern in litres whose dimensions are $11.2 m \times 6 m \times 5.8 m$. Find the area of the iron sheet required to make the cistern.
✓

Answer

Length of rectangular cistern $( l )=11.2 m$
Breadth $(b)=6 m$
Height $(h)=5.8 m$
a. Volume $= lbh =11.2 \times 6 \times 5.8 m^3$
$=389.76 m^3$
$\therefore$ Capacity in litres,
$=389.76 \times 1000$ litres
$=389760$ litres.
b. Total surface area $=2[ lb + bh + hl ]$
$=2[11.2 \times 6+65.8+5.8 \times 11.2] m ^2$
$=2 \times 166.96=333.92 m^2$.

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