Calculate 6193

On a project with a scale of 1:250, the length of the pool is 2.00mm, and the width is 1.00mm. The depth of the pool is 1.5 m.
Calculate how many hectoliters of water will fit in the pool.

Correct answer:

V =  187.5 hl

Step-by-step explanation:

$$\begin{gathered} M=250 \\ a=M\cdot 2.00/10=250\cdot 2.00/10=50\text{dm} \\ b=M\cdot 1.00/10=250\cdot 1.00/10=25\text{dm} \\ c=1.5\text{m}\to \text{dm}=1.5\cdot 10\text{dm}=15\text{dm} \\ {V}_1=a\cdot b\cdot c=50\cdot 25\cdot 15=18750\text{l} \\ V=V_1\to \text{hl}=V_1:100\text{hl}=18750:100\text{hl}=187.5\text{hl}=187.5\text{hl} \end{gathered}$$

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