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 reach 10 cm below the top?

Correct answer:

c =  130 cm

Step-by-step explanation:

$$\begin{gathered} V=480\text{l}\to {\text{cm}}^3=480\cdot 1000{\text{cm}}^3=480000{\text{cm}}^3 \\ a=80\text{cm} \\ b=50\text{cm} \\ {S}_1=a\cdot b=80\cdot 50=4000{\text{cm}}^2 \\ {c}_1=V/S_1=480000/4000=120\text{cm} \\ {c}_2=10\text{cm} \\ c=c_1+c_2=120+10=130\text{cm} \end{gathered}$$

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