Pool water calculation

How many liters of water are in a pool whose width is 12 m, length 25 m, and depth 280 cm if it is filled 10 cm below the edge?
What area of the walls wet the water (in m²)?

Final Answer:

V =  810000 l
S =  499.8 m²

Step-by-step explanation:

$$\begin{gathered} a=12\text{m} \\ b=25\text{m} \\ c=280-10=270\text{cm} \\ {c}_1=c\to \text{m}=c:100\text{m}=270:100\text{m}=2.7\text{m} \\ {V}_1=a\cdot b\cdot c_1=12\cdot 25\cdot 2.7=810{\text{m}}^3 \\ V=V_1\to \text{l}=V_1\cdot 1000\text{l}=810\cdot 1000\text{l}=810000\text{l}=810000\text{l} \end{gathered}$$

$S=a\cdot b+2\cdot (a+b)\cdot c_1=12\cdot 25+2\cdot (12+25)\cdot 2.7=499.8{\text{m}}^2$

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