Truck of milk

How many hectoliters of the box milk fit in the truck if the cargo size area is 2.8 m x 3 m x 17 m? A liter of milk in a box measuring 12 cm x 7 cm x 20 cm.

Final Answer:

x =  850 hl

Step-by-step explanation:

$$\begin{gathered} V_1=2.8\cdot 3\cdot 17=142.8{\text{m}}^3 \\ {V}_2=12\cdot 7\cdot 20=1680{\text{cm}}^3 \\ {V}_3=1\text{l}\to {\text{cm}}^3=1\cdot 1000{\text{cm}}^3=1000{\text{cm}}^3 \\ q=V_3/V_2=1000/1680=\frac{25}{42}\doteq 0.5952 \\ {V}_4=V_1\cdot q=142.8\cdot 0.5952=85{\text{m}}^3 \\ x=V_4\to \text{hl}=V_4\cdot 10\text{hl}=85\cdot 10\text{hl}=850\text{hl}=850\text{hl} \end{gathered}$$

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