Hectoliters of water - Garden

Garden tank dimensions: length. ..4,6 meters, width. ..3,8 meters, depth. ..1.6 meters. How many hectoliters of water is in the tank when it is filled to 2/3?

Final Answer:

V =  186.4533 hl

Step-by-step explanation:

$$\begin{gathered} a=4.6\text{m} \\ b=3.8\text{m} \\ c=1.6\text{m} \\ {V}_1=a\cdot b\cdot c=4.6\cdot 3.8\cdot 1.6=\frac{3496}{125}=27.968{\text{m}}^3 \\ {V}_2=\frac{2}{3}\cdot V_1=\frac{2}{3}\cdot \frac{3496}{125}=\frac{2\cdot 3496}{3\cdot 125}=\frac{6992}{375}\doteq 18.6453{\text{m}}^2 \\ V=V_2\to \text{hl}=V_2\cdot 10\text{hl}=18.6453\cdot 10\text{hl}=186.453\text{hl}=\frac{13984}{75}\text{hl}=186.4533\text{hl} \end{gathered}$$

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