A rectangular 9

A rectangular tank measuring 50 cm by 54 cm by 40 cm is 3/5 filled with water. 21.6 L of the water is removed. What is the volume of water left in the tank? Give your answer in liters.

Final Answer:

x =  43.2 l

Step-by-step explanation:

$$\begin{gathered} a=50\text{cm} \\ b=54\text{cm} \\ c=40\text{cm} \\ {V}_1=a\cdot b\cdot c=50\cdot 54\cdot 40=108000{\text{cm}}^3 \\ {V}_2=\frac{3}{5}\cdot V_1=\frac{3}{5}\cdot 108000=\frac{3\cdot 108000}{5}=\frac{324000}{5}=64800{\text{cm}}^3 \\ {V}_3=V_2\to \text{l}=V_2:1000\text{l}=64800:1000\text{l}=64.8\text{l} \\ {V}_4=21.6\text{l} \\ x=V_3-V_4=64.8-21.6=\frac{216}{5}\text{l}=43.2\text{l} \end{gathered}$$

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