Question

Find the capacity of a rectangular cistern in litres whose dimensions are $11.2m\times 6m\times 5.8m.$ Find the area of the iron sheet required to make the cistern.

Answer 1

Dimensions of a rectangular cistern are $11.2m\times 6m\times 5.8m.$

The volume of the rectangular cistern (Cubiodal in shape) $=length\left(l\right)\times breadth\left(b\right)\times height\left(h\right)$

$=11.2\times 6\times 5.8=389.76m^3=389.76\times 1000=389760$ litres [$\because 1m^3=1000$ litres]
Area of the iron sheet required to make this cistern = Total surface area of the cistern

$=2(lb+bh+lh)$

$=2(11.2\times 6+6\times 5.8+11.2\times 5.8)=2(67.2+34.8+64.96)=333.92m^2$