Water overflow

A rectangular container has a length of 30 cm, a width of 20 cm, and a height of 24 cm. It is filled with water to a depth of 15 cm. Some water overflows when an additional 6.5 liters of water is poured into the container. How many liters of water overflow the container?

Final Answer:

x =  1.1 l

Step-by-step explanation:

$$\begin{gathered} a=30\text{cm} \\ b=20\text{cm} \\ {c}_1=24\text{cm} \\ {c}_2=15\text{cm} \\ {V}_1=a\cdot b\cdot c_1=30\cdot 20\cdot 24=14400{\text{cm}}^3 \\ {V}_2=a\cdot b\cdot c_2=30\cdot 20\cdot 15=9000{\text{cm}}^3 \\ {V}_3=6.5\text{l}\to {\text{cm}}^3=6.5\cdot 1000{\text{cm}}^3=6500{\text{cm}}^3 \\ O=V_2+V_3-V_1=9000+6500-14400=1100{\text{cm}}^3 \\ x=O\to \text{l}=O:1000\text{l}=1100:1000\text{l}=1.1\text{l}=1.1\text{l} \end{gathered}$$

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