Three-quarters pool

How many liters of water are in a cube-shaped pool with dimensions equal to 3 whole six meters b equals one full 9 meters and a depth of one total 5 meters if it is filled to only three-quarters of its volume?

Final Answer:

V =  25650 l

Step-by-step explanation:

$$\begin{gathered} a=3.6\text{m}\to \text{dm}=3.6\cdot 10\text{dm}=36\text{dm} \\ b=1.9\text{m}\to \text{dm}=1.9\cdot 10\text{dm}=19\text{dm} \\ c=5\text{m}\to \text{dm}=5\cdot 10\text{dm}=50\text{dm} \\ {V}_0=a\cdot b\cdot c=36\cdot 19\cdot 50=34200{\text{dm}}^3 \\ V=\frac{3}{4}\cdot V_0=\frac{3}{4}\cdot 34200=\frac{3\cdot 34200}{4}=\frac{102600}{4}=25650\text{l} \end{gathered}$$

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