Water tank

The water tank-shaped cuboid has a width of 2.3 m and a length twice as large. If water flows into 19 liters of water per second during 52 minutes, how high will it reach?

Correct answer:

h =  5.6 m

Step-by-step explanation:

$$\begin{gathered} a=2.3\text{m} \\ b=2\cdot a=2\cdot 2.3=\frac{23}{5}=4.6\text{m} \\ Q=19\text{l}\to {\text{m}}^3=19:1000{\text{m}}^3=0.019{\text{m}}^3 \\ t=52\text{min}\to \text{s}=52\cdot 60\text{s}=3120\text{s} \\ V=Q\cdot t=0.019\cdot 3120=\frac{1482}{25}=59.28{\text{m}}^3 \\ V=a\cdot b\cdot h \\ h=\frac{V}{a\cdot b}=\frac{59.28}{2.3\cdot 4.6}=\frac{2964}{529}\text{m}=5.6\text{m} \end{gathered}$$

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