Question

У басейн,що має форму прямокутного паралепіпеда, щосекунди наливається 0,8л води.Водночас через другу трубу з нього щосекунди виливається 0,75л води.Довжина басейну дорівнює 4,05м, ширина - 120см, глибина - 75см.за який час наповниться басейн?

Answer 1

Вычисляем объем параллелепипеда по формуле
1)V = a*b*c = 4.05 * 1.2 * 0.75 = ³3.645 м = 3645 л.
2) Рс = 0,8 - 0,75 = 0,05 л/с - за секунду остаётся в бассейне.
3) T = V : Pc = 3645 : 0.05 = 72900 c = 20.25 ч = 20 ч 15 мин - ОТВЕТ

Answer 2

Calculation of Pool Volume:

To determine the time it takes to fill the pool, we first need to calculate the volume of the pool. The pool has the shape of a rectangular parallelepiped, with a length of 4.05 meters, a width of 120 centimeters (or 1.2 meters), and a depth of 75 centimeters (or 0.75 meters).

The formula to calculate the volume of a rectangular parallelepiped is:

Volume = Length x Width x Depth

Substituting the given values into the formula, we get:

Volume = 4.05 m x 1.2 m x 0.75 m

Calculating this, we find that the volume of the pool is 3.645 cubic meters.

Calculation of Filling Time:

Now that we know the volume of the pool, we can calculate the time it takes to fill the pool.

According to the given information, the pool is being filled at a rate of 0.8 liters per second, while at the same time, 0.75 liters per second are being drained from the pool.

To calculate the net filling rate, we subtract the draining rate from the filling rate:

Net Filling Rate = Filling Rate - Draining Rate

Substituting the given values, we get:

Net Filling Rate = 0.8 L/s - 0.75 L/s

Calculating this, we find that the net filling rate is 0.05 liters per second.

To calculate the time it takes to fill the pool, we divide the volume of the pool by the net filling rate:

Time = Volume / Net Filling Rate

Substituting the values we calculated earlier, we get:

Time = 3.645 m^3 / 0.05 L/s

To ensure consistent units, we need to convert the volume from cubic meters to liters:

Time = 3,645,000 L / 0.05 L/s

Calculating this, we find that it takes approximately 72,900 seconds to fill the pool.

Answer:

Therefore, the pool will be filled in approximately 72,900 seconds.