Question

Супер-Марио приказал своим строителям выкопать тоннель размерами 3×4×110 м. Всю освободившуюся землю погружают в товарный поезд.Какое минимальное количество пустых вагонов размерами 12×3×2 м нужно пригнать машинисту товарного поезда, чтобы увезти всю землю за один раз? Считайте, что тоннель и каждый вагон имеют форму прямоугольного параллелепипеда.

Answer 1

Обьем тоннеля: V=3*4*110=1320м³
Обьем одного вагона:V°=12*3*2=72м³
Количество вагонов:1320:72=18.33шт
Ответ:машинист должен пригнать 19 вагонов,чтобы наверняка увезти всю землю за один раз

Answer 2

To find the minimum number of empty wagons needed to transport all the excavated soil in one go, we need to calculate the volume of the tunnel and the volume of each wagon.

Calculating the Volume of the Tunnel:

The tunnel has dimensions of 3 × 4 × 110 meters. To find its volume, we multiply these dimensions together: Volume of the tunnel = 3 × 4 × 110 = 1320 cubic meters. [[1]]

Calculating the Volume of Each Wagon:

Each wagon has dimensions of 12 × 3 × 2 meters. To find its volume, we multiply these dimensions together: Volume of each wagon = 12 × 3 × 2 = 72 cubic meters. [[2]]

Determining the Number of Wagons Needed:

To determine the minimum number of empty wagons needed to transport all the soil in one go, we divide the volume of the tunnel by the volume of each wagon: Number of wagons needed = Volume of the tunnel / Volume of each wagon = 1320 / 72 = 18.33.

Since we cannot have a fraction of a wagon, we need to round up to the nearest whole number. Therefore, the minimum number of empty wagons needed to transport all the soil in one go is 19 wagons.

Please note that this calculation assumes that the soil can be compacted and fit perfectly into the wagons without any wasted space. Additionally, it does not take into account any additional factors such as the weight limit of the train or the practicality of transporting such a large volume of soil in one go.

I hope this helps! Let me know if you have any further questions.