Every second 700 m3 of water is poured into the sea from the river. How long would it take for a river to fill

| April 30, 2021 | education

Every second 700 m3 of water is poured into the sea from the river. How long would it take for a river to fill a lake, fenced off by platinum, the length and width of which is 10 km, and the depth is 10 m?

The dimensions of the lake are a rectangular parallelepiped shape. Therefore, we apply the formula for the volume of this figure: V = a * b * c, V is the volume of a rectangular parallelepiped, a is the length, b is the width, c is the height.
In this case, we will equalize the values ​​and translate the depth (height) of the lake into kilometers, we apply the ratio 1 (km) = 1000 (m), which means that 1 (m) = 1/1000 (m) = 0.001 (km). Therefore, 10 (m) = 10 (m) * 0.001 (km) = 0.01 (km).

Substitute the values ​​a = 10 (km), b = 10 (km) and c = 0.01 (km) and calculate the volume: V = 10 (km) * 10 (km) * 0.01 (km) = 1 (km3 ).

Converting cubic kilometers to cubic meters 1 (km3) = 1,000,000,000 (m3).

Let’s calculate the time it takes for the river to fill the lake: 1,000,000,000 (m3) / 700 (m3) ≈ 1,428,571.43 (sec).

Answer: the river will fill the lake in 1,428,571.43 seconds.



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