Pressure vessel

A block-shaped pressure vessel with dimensions of 1.5 m, 2 m, and 3 m is filled with compressed gas. After being released from the container, the volume of the gas increases four times. What volume does the gas occupy after it is released from the container? List it in m³ and in hectoliters.

Correct answer:

V₁ =  36 m³
V₂ =  360 hl

Step-by-step explanation:

$$\begin{gathered} a=1.5\text{m} \\ b=2\text{m} \\ c=3\text{m} \\ V=a\cdot b\cdot c=1.5\cdot 2\cdot 3=9{\text{m}}^3 \\ k=4 \\ {V}_1=k\cdot V=4\cdot 9=36{\text{m}}^3 \end{gathered}$$

$V_2=V_1\to \text{hl}=V_1\cdot 10\text{hl}=36\cdot 10\text{hl}=360\text{hl}=360\text{hl}$

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