Contain 7986

The pool is 30 m long, 12 m wide, and 2 m deep. Can it contain 7,000 hl of water? If so, what is the level? If not, how much extra water is there?

Correct answer:

h =  1.9444 m

Step-by-step explanation:

$$\begin{gathered} a=30\text{m} \\ b=12\text{m} \\ c=2\text{m} \\ S=a\cdot b=30\cdot 12=360{\text{m}}^2 \\ V=S\cdot c=360\cdot 2=720{\text{m}}^3 \\ {V}_1=7000\text{hl}\to {\text{m}}^3=7000:10{\text{m}}^3=700{\text{m}}^3 \\ {V}_1<V \\ h=V_1/S=700/360=1.9444\text{m} \end{gathered}$$

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