Water 66

Water flows from a tap into a rectangular tank that measures 64cm by 36cm by 45cm. At 8 p. m., it is 1/4 filled with water. At 9 p. m., it is filled with 69,120 cm³ of water. Find the volume of water that has flowed into the tank from 8 p. m. to 9 p. m. Give your answer in liters and milliliters. Please, reply as soon as possible as my school opens tomorrow.

Correct answer:

x =  43.2 l
y =  43200 ml

Step-by-step explanation:

$$\begin{gathered} a=64\text{cm} \\ b=36\text{cm} \\ c=45\text{cm} \\ {V}_1=a\cdot b\cdot c=64\cdot 36\cdot 45=103680{\text{cm}}^3 \\ {V}_2=\frac{1}{4}\cdot V_1=\frac{1}{4}\cdot 103680=\frac{1\cdot 103680}{4}=\frac{103680}{4}=25920{\text{cm}}^3 \\ {V}_3=69120{\text{cm}}^3 \\ {V}_4=V_3-V_2=69120-25920=43200{\text{cm}}^3 \\ x=V_4\to \text{l}=V_4:1000\text{l}=43200:1000\text{l}=43.2\text{l}=\frac{216}{5}\text{l}=43.2\text{l} \end{gathered}$$

$y=x\to \text{ml}=x\cdot 1000\text{ml}=43.2\cdot 1000\text{ml}=43200\text{ml}=43200\text{ml}$

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