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

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Answer: 8.125\; m^{3}

In the question, it is given that:

Volume of water in tank=15.625\; m^{3}

Depth of water =1.3 \; m

Now we know that,

Volume of cube is given as a^{3}                          (where a is the side length)

a^{3}=15.625

a=\sqrt[3]{15.625}

a=2.5\; m

The present depth of water volume is given as 1.3\; m.

Height of water used = 1.2 m

Volume of water already used from the tank

                    = area of base of the cube × Height of water used

                    =a^{2}\times 1.2

                    =\left ( 2.5 \right )^{2}\times 1.2

                    =6.25 \times 1.2

                    =7.5\; m^{3}

Hence volume of water already used from the tank is 7.5\; m^{3}.

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