Tank full

2 hl of water were poured into a block-shaped tank with dimensions of 450 mm and 600 mm and a height of 900 mm. How many liters of water need to be added to keep the tank full?

Correct answer:

x =  43 l

Step-by-step explanation:

$$\begin{gathered} a=450\text{ mm}\to \text{ dm}=450\mathrm{/}100\text{ dm}=4.5\text{ dm } \\ b=600\text{ mm}\to \text{ dm}=600\mathrm{/}100\text{ dm}=6\text{ dm } \\ c=900\text{ mm}\to \text{ dm}=900\mathrm{/}100\text{ dm}=9\text{ dm } \\ {V}_1=a\cdot b\cdot c=4.5\cdot 6\cdot 9=243\text{ l } \\ {V}_2=2\text{ hl}\to \text{ l}=2\cdot 100\text{ l}=200\text{ l } \\ x=V_1-V_2=243-200=43\text{ l} \end{gathered}$$

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