Question

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

Answer 1

Let side of a cube be = x m

∴ Volume of cubical tank = 15.625 m³  ...[Given]

⇒ x³ = 15.625 m³

⇒ x = 2.5 m

And present depth of water in cubical tank = 1.3 m

∴ Height of water used = 2.5 – 1.3 m = 1.2 m

Now, volume of water used = 1.2 × 2.5 × 2.5 = 7.5 m³

= 7.5 × 1000  ...[∴ 1 m³ = 1000 L]

= 7500 L  

Hence, the volume of water already used from the tank is 7500 L.