Block-shaped tank

The block-shaped tank has dimensions of 320 cm, 50 cm, and 180 cm.
1. How much water can fit in it?
2. It was 45% filled. How much water was in it?

Final Answer:

h =  28.8 hl
p =  12.96 hl

Step-by-step explanation:

$$\begin{gathered} a=320\text{cm}\to \text{dm}=320:10\text{dm}=32\text{dm} \\ b=50\text{cm}\to \text{dm}=50:10\text{dm}=5\text{dm} \\ c=180\text{cm}\to \text{dm}=180:10\text{dm}=18\text{dm} \\ V=a\cdot b\cdot c=32\cdot 5\cdot 18=2880{\text{dm}}^3 \\ V=2880\text{l} \\ h=V\to \text{hl}=V:100\text{hl}=2880:100\text{hl}=28.8\text{hl}=28.8\text{hl} \end{gathered}$$

$$\begin{gathered} q=45\%=\frac{45}{100}=\frac{9}{20}=0.45 \\ p=q\cdot h=0.45\cdot 28.8=12.96\text{hl} \end{gathered}$$

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