Six-sevenths 7086

The tank has the shape of a cube measuring 3.3 m. How many liters of water is in the tank if it is filled to six-sevenths of its volume?

Correct answer:

V =  30803.1 l

Step-by-step explanation:

$$\begin{gathered} a=3.3\text{m} \\ {V}_1=\frac{6}{7}\cdot a^3=\frac{6}{7}\cdot 3.3^3\doteq 30.8031{\text{m}}^3 \\ V=V_1\to \text{l}=V_1\cdot 1000\text{l}=30.8031\cdot 1000\text{l}=30803.1\text{l}=\frac{215622}{7}\text{l}=30803.1\text{l} \end{gathered}$$

Try another example