Gasoline Tank Volume Positions

The closed petrol tank is a cuboid with dimensions of 80 cm, 30 cm, and 20 cm. The petrol level reaches 6 cm below the upper edge of the tank. Determine the amount of gasoline in the tank in liters for all possible, stable positions of the tank.

Final Answer:

V₁ =  33.6 l
V₂ =  38.4 l

Step-by-step explanation:

$$\begin{gathered} a=80\text{cm}\to \text{dm}=80:10\text{dm}=8\text{dm} \\ b=30\text{cm}\to \text{dm}=30:10\text{dm}=3\text{dm} \\ c=20\text{cm}\to \text{dm}=20:10\text{dm}=2\text{dm} \\ x=6\text{cm}\to \text{dm}=6:10\text{dm}=0.6\text{dm} \\ 1d{m}^3=1l \\ {V}_1=a\cdot b\cdot (c-x)=8\cdot 3\cdot (2-0.6)=33.6\text{l} \end{gathered}$$

$V_2=a\cdot (b-x)\cdot c=8\cdot (3-0.6)\cdot 2=38.4\text{l}$

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