Distance 6466

The water tank is cuboid with a square base (the edge of the base is 3.2 m long) and 3 m high. It holds 25,600 liters of water. What is the distance of the water level from the upper base?

Correct answer:

x =  0.5 m

Step-by-step explanation:

$$\begin{gathered} V=25600\text{l}\to {\text{m}}^3=25600:1000{\text{m}}^3=25.6{\text{m}}^3 \\ a=3.2\text{m} \\ c=3\text{m} \\ S=a^2=3.2^2=\frac{256}{25}=10.24{\text{m}}^2 \\ {c}_1=V/S=25.6/10.24=\frac{5}{2}=2.5 \\ x=c-c_1=3-2.5=0.5\text{m} \end{gathered}$$

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