Dimensions 6263

The closed petrol tank is a cuboid with dimensions of 80cm, 30cm, and 20cm. The petrol level reaches 6cm 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.

Correct 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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