Bathtub

Kevin has a bathtub shaped like a block. The bathtub measures 70 cm long, 45 cm wide, and 50 cm high. Then the bathtub will be filled with clean water 3/5 of its height. The clean water needed is….

Correct answer:

V =  94.5 l

Step-by-step explanation:

$$\begin{gathered} a=70\text{cm} \\ b=45\text{cm} \\ c=50\text{cm} \\ k=\frac{3}{5}=0.6 \\ {V}_1=a\cdot b\cdot c=70\cdot 45\cdot 50=157500{\text{cm}}^3 \\ {V}_2=V_1\to \text{l}=V_1:1000\text{l}=157500:1000\text{l}=157.5\text{l} \\ V=k\cdot V_2=\frac{3}{5}\cdot \frac{315}{2}=\frac{3\cdot 315}{5\cdot 2}=\frac{945}{10}=\frac{189}{2}\text{l}=94.5\text{l} \end{gathered}$$

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