Question

Какое наибольшее число коробок в форме прямоугольного параллелепипеда размером 20х50х100 (см) можно поместить в кузов машины размером 5х2,5х3 (м) ?

Answer 1

20 см = 0,2 м
50 см = 0,5 м
100 см = 1 м

0,2 * 0,5 * 1 = 0,1 м³ - объём коробки
5 * 2,5 * 3 = 37,5 м³ - объём кузова машины
37,5 : 0,1 = 375 коробок поместится

Answer 2

Calculating the Maximum Number of Boxes

To calculate the maximum number of boxes in the shape of a rectangular parallelepiped with dimensions of 20x50x100 cm that can fit into a car with dimensions of 5x2.5x3 m, we can use the concept of volume and consider the space available in the car's cargo area.

The volume of the car's cargo area can be calculated as the product of its length, width, and height: Volume of the car's cargo area = 5 m x 2.5 m x 3 m

The volume of each box can be calculated as the product of its length, width, and height: Volume of each box = 20 cm x 50 cm x 100 cm

To find the maximum number of boxes that can fit into the car's cargo area, we can divide the volume of the car's cargo area by the volume of each box.

Let's perform the calculations.

Calculation

First, we need to convert the dimensions of the boxes and the car's cargo area to the same unit. Since the dimensions of the car are in meters and the dimensions of the boxes are in centimeters, we need to convert the dimensions of the boxes to meters.

20 cm = 0.2 m 50 cm = 0.5 m 100 cm = 1 m

Now, we can calculate the volume of the car's cargo area and the volume of each box in cubic meters.

Volume of the car's cargo area = 5 m x 2.5 m x 3 m = 37.5 cubic meters

Volume of each box = 0.2 m x 0.5 m x 1 m = 0.1 cubic meters

To find the maximum number of boxes that can fit into the car's cargo area, we divide the volume of the car's cargo area by the volume of each box:

Maximum number of boxes = Volume of the car's cargo area / Volume of each box = 37.5 cubic meters / 0.1 cubic meters = 375 boxes

Conclusion

The maximum number of boxes in the shape of a rectangular parallelepiped with dimensions of 20x50x100 cm that can fit into a car with dimensions of 5x2.5x3 m is 375 boxes.