The aquarium

The aquarium has a capacity of 18 liters. What is its height when the square bottom is 8 2/3 cm long?

Correct result:

h =  239.645 cm

Solution:

$$\begin{gathered} V=18\text{ l}\to {\text{cm}}^3=18\cdot 1000{\text{cm}}^3=18000{\text{cm}}^3 \\ a=8+{\displaystyle \frac{2}{3}}={\displaystyle \frac{26}{3}}\doteq 8.6667\text{ cm } \\ S=a^2=8.6667^2={\displaystyle \frac{676}{9}}\doteq 75.1111{\text{cm}}^2 \\ h=V\mathrm{/}S=18000\mathrm{/}75.1111=239.645\text{ cm} \end{gathered}$$

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