Dimensions 3985

The block of goods has dimensions of 2.5 m, 4.2 m, and a height of 180 cm. It is filled to two-thirds of the volume.
How many hectoliters of water are in it?
How many m² of the tank is soaked with water?

Correct answer:

V =  126 hl
S =  26.58 m²

Step-by-step explanation:

$$\begin{gathered} a=2.5\text{m} \\ b=4.2\text{m} \\ {c}_1=180\text{cm}\to \text{m}=180:100\text{m}=1.8\text{m} \\ c=c_1\cdot \frac{2}{3}=\frac{9}{5}\cdot \frac{2}{3}=\frac{9\cdot 2}{5\cdot 3}=\frac{18}{15}=\frac{6}{5}=1.2\text{m} \\ {V}_1=a\cdot b\cdot c=2.5\cdot 4.2\cdot 1.2=\frac{63}{5}=12.6{\text{m}}^3 \\ V=V_1\to \text{hl}=V_1\cdot 10\text{hl}=12.6\cdot 10\text{hl}=126\text{hl}=126\text{hl} \end{gathered}$$

$$\begin{gathered} o=2\cdot (a+b)=2\cdot (2.5+4.2)=\frac{67}{5}=13.4\text{m} \\ S=a\cdot b+o\cdot c=2.5\cdot 4.2+13.4\cdot 1.2=\frac{1329}{50}{\text{m}}^2=26.58{\text{m}}^2 \end{gathered}$$

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