Dimensions 16573

They drained the water from the full tank through three holes. 1/6 of the tank volume flowed through the first hole, 2/5 of the volume through the second hole, and 1/4 of the volume through the third hole. The tank has the shape of a cuboid with dimensions of 6.6 m, 3 m, and 2 m. How many liters of water are left in the tank?

Correct answer:

x =  7260 l

Step-by-step explanation:

$$\begin{gathered} a=6.6\text{m} \\ b=3\text{m} \\ c=2\text{m} \\ V=a\cdot b\cdot c=6.6\cdot 3\cdot 2=\frac{198}{5}=39.6{\text{m}}^3 \\ {V}_1=V-V/6-\frac{2}{5}\cdot V-V/4=\frac{198}{5}-\frac{198}{5}/6-\frac{2}{5}\cdot \frac{198}{5}-\frac{198}{5}/4=\frac{363}{50}=7.26{\text{m}}^3 \\ x=V_1\to \text{l}=V_1\cdot 1000\text{l}=7.26\cdot 1000\text{l}=7260\text{l}=7260\text{l} \end{gathered}$$

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