Water in aquarium

The aquarium cuboid shape with a length of 25 cm and a width of 30 cm is 9 liters of water. Calculate the areas which are wetted with water.

Correct answer:

S =  20.7 dm²

Step-by-step explanation:

$$\begin{gathered} a=25\mathrm{/}10={\displaystyle \frac{5}{2}}=2.5\text{ dm } \\ b=30\mathrm{/}10=3\text{ dm } \\ V=9\text{ l } \\ {S}_1=a\cdot b=2.5\cdot 3={\displaystyle \frac{15}{2}}=7.5{\text{dm}}^2 \\ c=V\mathrm{/}{S}_1=9\mathrm{/}7.5={\displaystyle \frac{6}{5}}=1.2\text{ dm } \\ S=S_1+2\cdot c\cdot (a+b)=7.5+2\cdot 1.2\cdot (2.5+3)={\displaystyle \frac{207}{10}}={\displaystyle \frac{207}{10}}{\text{dm}}^2=20.7{\text{dm}}^2 \end{gathered}$$

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