Question

Ширина прямоугольного параллелепипеда,равная одной целой1/5м,состовляет 2/3 его длины,а высота в 1,5 раза меньше ширины.Что меньше и на сколько:объём данного параллелепипеда или объём куба с ребром 1,2м.

Answer 1

Ш=1 цел 1/5=6/5 м

Д=6/5 :2 и *3= 9/5

В=6/5 * 2/3=2/5*2=4/5

Vп= 6/5*9/5*4/5=216/125

 

 

 

 

 

 Vк=6\5*6\5*6\5=216\125

Vп=Vк

 

 

 

 

 

 

 

Answer 2

Given Information

- The width of a rectangular parallelepiped is 1/5 m. - The width is 2/3 of its length. - The height is 1.5 times smaller than the width.

Calculating the Dimensions

To solve this problem, we need to find the length, width, and height of the rectangular parallelepiped.

Let's assume the width of the parallelepiped is w. - The length of the parallelepiped is (3/2)w (since the width is 2/3 of the length). - The height of the parallelepiped is (1/5)w (since the height is 1.5 times smaller than the width).

Calculating the Volume of the Parallelepiped

The volume of a rectangular parallelepiped is calculated by multiplying its length, width, and height.

The volume of the parallelepiped is given by: Volume = Length × Width × Height

Substituting the values we found earlier: Volume = (3/2)w × w × (1/5)w

Simplifying the expression: Volume = (3/10)w³

Calculating the Volume of the Cube

The volume of a cube is calculated by cubing the length of its side.

The volume of the cube with a side length of 1.2 m is given by: Volume = (1.2)³

Comparing the Volumes

To determine which volume is smaller, we need to compare the values of the two volumes.

Let's compare the expressions: (3/10)w³ and (1.2)³

Since we don't have the exact value of w, we cannot directly compare the volumes. However, we can make a general comparison based on the given information.

From the given information, we know that the width of the parallelepiped is 1/5 m. Since the width is smaller than 1.2 m, we can infer that the volume of the parallelepiped, (3/10)w³, is likely to be smaller than the volume of the cube, (1.2)³.

Therefore, we can conclude that the volume of the rectangular parallelepiped is likely to be smaller than the volume of the cube with a side length of 1.2 m.

Please note that the exact comparison cannot be made without knowing the exact value of w.

Conclusion

Based on the given information, it is likely that the volume of the rectangular parallelepiped is smaller than the volume of the cube with a side length of 1.2 m.

Please let me know if there is anything else I can help you with!