Beni has

Beni has a rectangular tub with a height of 50 cm, a width of 70 cm, and a length of 90 cm. He will fill the tub with water. The amount of water needed to fill 2/3 of Beni's tub is :

Correct answer:

V =  210 l

Step-by-step explanation:

$$\begin{gathered} a=50\text{cm} \\ b=70\text{cm} \\ c=90\text{cm} \\ q=\frac{2}{3}\doteq 0.6667 \\ {V}_1=a\cdot b\cdot c=50\cdot 70\cdot 90=315000{\text{cm}}^3 \\ {V}_2=q\cdot V_1=\frac{2}{3}\cdot 315000=\frac{2\cdot 315000}{3}=\frac{630000}{3}=210000{\text{cm}}^3 \\ V=V_2\to \text{l}=V_2:1000\text{l}=210000:1000\text{l}=210\text{l}=210\text{l} \end{gathered}$$

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