Question

A storage tank is in the form of a cube . When it is full of watee the volume of water is 15.625m3. If the present depth of water is 1.3m find the volume of water already used from the tank.

Answer 1

Step-by-step explanation:

Let each side of cubical storage tank be " x cm".

Volume of cubical storage tank = 15.625 m^3 (given)

=> x^3 = 15.625 m^3

Therefore, a = 3^√15.625

= 2.5 m

Current depth of water = 1.3 m

And we know that, in a cube, Depth of cube = Edge of cube

So, Previous depth (when it was full of water) = Edge of cube = 2.5 m

Depth of water used = Previous depth - Current depth

= 2.5 m - 1.3 m

= 1.2 m

So, Volume of water already used = (1.2 × 2.5 × 2.5) m^3

= 7.5 m^3

= (7.5 × 1000)L [ Since, 1 m^3 = 1000L ]

= 7500 L

Hope it helps :)