Three-quarters of its volume

The pool is a block shape with a length of 8m, a width of 5.3m, and a depth of 1.5m. If it is filled to three-quarters of its volume, how many hectoliters of water are in it?

Correct answer:

V =  477 hl

Step-by-step explanation:

$$\begin{gathered} a=8\text{m} \\ b=5.3\text{m} \\ c=1.5\text{m} \\ {V}_1=a\cdot b\cdot c=8\cdot 5.3\cdot 1.5=\frac{318}{5}=63.6{\text{m}}^3 \\ {V}_2=V_1\to \text{hl}=V_1\cdot 10\text{hl}=63.6\cdot 10\text{hl}=636\text{hl} \\ V=\frac{3}{4}\cdot V_2=\frac{3}{4}\cdot 636=\frac{3\cdot 636}{4}=\frac{1908}{4}=477\text{hl} \end{gathered}$$

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