Icerink

A rectangular rink with 68.7 m and 561 dm dimensions must be covered with a layer of ice 4.2 cm thick. How many liters of water is necessary for ice formation when the ice volume is 9.7% greater than the volume of water?

Correct answer:

V =  146169 l

Step-by-step explanation:

$$\begin{gathered} x=68.7\text{m}\to \text{dm}=68.7\cdot 10\text{dm}=687\text{dm}\text{dm} \\ y=561\text{dm} \\ z=4.2\text{cm}\to \text{dm}=4.2:10\text{dm}=0.42\text{dm}\text{dm} \\ {V}_1=x\cdot y\cdot z=687\cdot 561\cdot \frac{21}{50}=161870.94\text{l} \\ q=1-\frac{9.7}{100}=\frac{903}{1000}=0.903 \\ V=V_1\cdot q=161870.94\cdot 0.903=146169\text{l} \end{gathered}$$

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