Question

The area of the base of a rectangle tank is $6500c{m}^2$ and the volume of water contained in it is $2.6$ cubic metre. Find the depth of water in the tank.

Answer 1

The water tank is in the form of a cuboid.

Given: Area of a base of rectangular tank$=l\times b=6500{cm}^2$

Volume of water contained in it$=lbh=2.6m^3$

Depth of the water$=$height of the tank$=h=\frac{lbh}{lb}=\frac{2.6m^3}{6500{cm}^2}$

We know that $1m=100cm$

$\Rightarrow 1m^3={\left(100cm\right)}^3$

$\therefore h=\frac{2.6\times 100\times 100\times 100{cm}^3}{6500{cm}^2}$

$=400‬$cm

$\therefore$ Depth of water in the tank$=400‬$cm