Question

A storage tank is in the form of a cube. When it is full of water, the volume of water is $15.625m^3$. If the present depth of water is $1.3m,$ then find the volume of water already used from the tank.

Answer 1

Let the side of cube be $xm$

Volume of cubical tank $=15.625m^3$ [given]

$\Rightarrow x^3=15.625m^3$ [$\because$ Volume of cube $=(Side{)}^3$]

$\Rightarrow x=2.5m$

And present depth of the water in the cubical tank $=1.3m$

$\therefore$ Height of water used $=2.5-1.3=1.2m$

Volume of cubical tank $=l\times b\times h$

Now, volume of water used $=1.2\times 2.5\times 2.5=7.5m^3$

$=7.5\times 1000=7500L$ $[\because 1m^3=1000L]$

Hence, the volume of water already used from the tanks is $7500L$