Water level

How many cm will the water level in a cube-shaped tank with an edge of 3 m drop if we discharge 189 hl of water?

Correct result:

x =  210 cm

Solution:

$$\begin{gathered} a=3\text{ m } \\ {V}_1=189\text{ hl}\to {\text{m}}^3=189\mathrm{/}10{\text{m}}^3=18.9{\text{m}}^3 \\ S=a^2=3^2=9{\text{m}}^2 \\ {x}_1=V_1\mathrm{/}S=18.9\mathrm{/}9={\displaystyle \frac{21}{10}}=2.1\text{ m } \\ x=x_1\to \text{ cm}=x_1\cdot 100\text{ cm}=2.1\cdot 100\text{ cm}=210\text{ cm} \end{gathered}$$

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