Block-shaped 16361

The block-shaped tank with bottom dimensions of 2.5 m and 2 m is empty. The inflow flows into the tank with 10 l of water per second. How high will the water be in the tank if it flows in for 3 minutes and 20 seconds?

Correct answer:

h =  4 dm

Step-by-step explanation:

$$\begin{gathered} a=2.5\text{m} \\ b=2\text{m} \\ S=a\cdot b=2.5\cdot 2=5{\text{m}}^2 \\ {S}_1=S\to {\text{dm}}^2=S\cdot 100{\text{dm}}^2=5\cdot 100{\text{dm}}^2=500{\text{dm}}^2 \\ Q=10\text{l/s} \\ t=3\cdot 60+20=200\text{s} \\ V=Q\cdot t=10\cdot 200=2000\text{l} \\ 1d{m}^3=1l \\ h=V/S_1=2000/500=4\text{dm} \end{gathered}$$

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