Pool water hectoliters

How many hectoliters of water are in a rectangular prism-shaped pool if the top is 6 m wide, the bottom is 4 m wide, the pool is 2 m deep, and the pool is 12 m long?

Final Answer:

V =  1200 hl

Step-by-step explanation:

$$\begin{gathered} a=6\text{m} \\ c=4\text{m} \\ h=2\text{m} \\ l=12\text{m} \\ {S}_1=\frac{a+c}{2}\cdot h=\frac{6+4}{2}\cdot 2=10{\text{m}}^2 \\ {V}_1=S_1\cdot l=10\cdot 12=120{\text{m}}^3 \\ V=V_1\to \text{hl}=V_1\cdot 10\text{hl}=120\cdot 10\text{hl}=1200\text{hl}=1200\text{hl} \end{gathered}$$

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