Stones in aquarium

In an aquarium with a length of 2 m, a width of 1.5 m, and a depth of 2.5 m is a water level up to three-quarters of the depth. Can we place stones with a volume of 2 m³ into the aquarium without water being poured out?

Result

x=

Yes

No

Step-by-step explanation:

$$\begin{gathered} a=2\text{m} \\ b=1.5\text{m} \\ c=2.5\text{m} \\ {V}_1=a\cdot b\cdot c=2\cdot 1.5\cdot 2.5=\frac{15}{2}=7\frac{1}{2}=7.5{\text{m}}^3 \\ {V}_2=\frac{3}{4}\cdot V_1=\frac{3}{4}\cdot 7.5=\frac{45}{8}=5\frac{5}{8}=5.625{\text{m}}^3 \\ {V}_3=V_2+2=5.625+2=\frac{61}{8}=7\frac{5}{8}=7.625{\text{m}}^3 \\ {V}_3>V_1 \\ x=0 \end{gathered}$$

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