Cube-shaped 20193

The cube-shaped aquarium with an edge length of 40 cm is filled with 70% water. How many liters of water are in the aquarium, and how high does the water reach?

Correct answer:

V =  44.8 l
b =  2.8 dm

Step-by-step explanation:

$$\begin{gathered} a=40\text{cm}\to \text{dm}=40:10\text{dm}=4\text{dm} \\ b=0.70\cdot a=0.70\cdot 4=\frac{14}{5}=2.8\text{dm} \\ {V}_1=a\cdot a\cdot b=4\cdot 4\cdot 2.8=\frac{224}{5}=44.8{\text{dm}}^3 \\ V=V_1\to \text{l}=V_1\cdot 1\text{l}=44.8\cdot 1\text{l}=44.8\text{l}=44.8\text{l} \end{gathered}$$

$b=2.8=2.8\text{dm}$

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