Length 25661

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 is the area of ​​the walls that wet the water (in m²)?

Correct answer:

V =  810000 l
S =  499.8 m²

Step-by-step explanation:

$$\begin{gathered} a=12\text{m} \\ b=25\text{m} \\ c=280-10=270\text{cm} \\ {c}_1=c\to \text{m}=c:100\text{m}=270:100\text{m}=2.7\text{m} \\ {V}_1=a\cdot b\cdot c_1=a\cdot b\cdot \frac{27}{10}=12\cdot 25\cdot 2.7=810{\text{m}}^3 \\ V=V_1\to \text{l}=V_1\cdot 1000\text{l}=810\cdot 1000\text{l}=810000\text{l}=810000\text{l} \end{gathered}$$

$S=a\cdot b+2\cdot (a+b)\cdot c_1=a\cdot b+2\cdot (a+b)\cdot \frac{27}{10}=12\cdot 25+2\cdot (12+25)\cdot 2.7=499.8{\text{m}}^2$

Try another example