Water tank

What is the height of the cuboid-shaped tank with the bottom dimensions of 80 cm and 50 cm if the 480 liters of water reaches 10 cm below the top?

Correct answer:

c =  130 cm

Step-by-step explanation:

$$\begin{gathered} V=480\text{ l}\to {\text{cm}}^3=480\cdot 1000{\text{cm}}^3=480000{\text{cm}}^3 \\ a=80\text{ cm } \\ b=50\text{ cm } \\ {S}_1=a\cdot b=80\cdot 50=4000{\text{cm}}^2 \\ {c}_1=V\mathrm{/}{S}_1=480000\mathrm{/}4000=120\text{ cm } \\ {c}_2=10\text{ cm } \\ c=c_1+c_2=120+10=130\text{ cm} \end{gathered}$$

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