Ice Rink Water Volume

The rectangular rink with dimensions of 50 m and 25 m should be covered with a layer of ice 4 cm high. How many liters of water are needed to make ice if the ice volume is 10% greater than the volume of water?

Final Answer:

V =  45454.5 l

Step-by-step explanation:

$$\begin{gathered} a=50\text{m}\to \text{dm}=50\cdot 10\text{dm}=500\text{dm} \\ b=25\text{m}\to \text{dm}=25\cdot 10\text{dm}=250\text{dm} \\ c=4\text{cm}\to \text{dm}=4:10\text{dm}=0.4\text{dm} \\ {V}_1=a\cdot b\cdot c=500\cdot 250\cdot 0.4=50000\text{l} \\ q=100\%+10\%=1+\frac{10}{100}=1.1 \\ {V}_1=V\cdot q \\ V=V_1/q=50000/1.1=45454.5\text{l} \end{gathered}$$

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