The aquarium

The aquarium is 120 cm long, 70 cm wide and 96 cm high. How high does the water reach if they filled 168l of water into the aquarium?

Correct answer:

h =  20 cm

Step-by-step explanation:

$$\begin{gathered} a=120\text{ cm}\to \text{ dm}=120\mathrm{/}10\text{ dm}=12\text{ dm } \\ b=70\text{ cm}\to \text{ dm}=70\mathrm{/}10\text{ dm}=7\text{ dm } \\ c=96\text{ cm}\to \text{ dm}=96\mathrm{/}10\text{ dm}=9.6\text{ dm } \\ V=168\text{ l}\to {\text{dm}}^3=168\cdot 1{\text{dm}}^3=168{\text{dm}}^3 \\ {h}_1=V\mathrm{/}(a\cdot b)=168\mathrm{/}(12\cdot 7)=2\text{ dm } \\ h=h_1\to \text{ cm}=h_1\cdot 10\text{ cm}=2\cdot 10\text{ cm}=20\text{ cm } \\ h<c \end{gathered}$$

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