Question

a storage tank is in form of acube. when it is full of water, the volume of water is 15.625mcube if the present of water is 1.3m, find the volume of water already used from the tank

Answer 1

Let each side of the cubical tank measures am.

Volume of  water when the tank is full =  15.625 m3

∴ Capacity of tank = 15.625 m3

⇒ a3 = 15.625 m3

⇒ a = 2.5 m

⇒ Depth of tank = 2.5 m

Depth of water = 1.3 m

∴ Depth of empty tank = 2.5 m - 1.3 m = 1.2 m

Volume of used water = Volume of empty tank = 2.5 m × 2.5 m × 1.2 m = 7.5 m3