Aquarium

There is 15 liters of water in a block-shaped aquarium with internal dimensions of the bottom of 25 cm and 30 cm. Find the volume of water-wetted surfaces. Express the result in dm square.

Correct answer:

S =  29.5 dm²

Step-by-step explanation:

$$\begin{gathered} a=25\text{ cm}\to \text{ dm}=25\mathrm{/}10\text{ dm}=2.5\text{ dm } \\ b=30\text{ cm}\to \text{ dm}=30\mathrm{/}10\text{ dm}=3\text{ dm } \\ V=15\text{ l } \\ {S}_1=a\cdot b=2.5\cdot 3={\displaystyle \frac{15}{2}}=7.5{\text{dm}}^2 \\ c=V\mathrm{/}{S}_1=15\mathrm{/}7.5=2\text{ dm } \\ S=S_1+2\cdot c\cdot (a+b)=7.5+2\cdot 2\cdot (2.5+3)=29.5{\text{dm}}^2 \end{gathered}$$

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