Question

В пра­виль­ной ше­сти­уголь­ной приз­ме ABCDEFA1B1C1D1E1F1 все ребра равны 14. Най­ди­те рас­сто­я­ние между точ­ка­ми D и F1. Помогите, пожалуйста, запуталась)

Answer 1

Думаю все понятно решил 

Answer 2

Calculating the Distance between Points D and F1 in a Regular Hexagonal Prism

To find the distance between points D and F1 in the given regular hexagonal prism, we can use the properties of a regular hexagon and the concept of 3D geometry.

Given: - All edges of the regular hexagonal prism are equal and have a length of 14 units.

We need to find the distance between points D and F1.

Solution:

In a regular hexagonal prism, the distance between the top and bottom faces is equal to the height of the prism. Since the prism is regular, the height can be calculated using the formula:

Height of the Prism = √3 * (side length)

Given that the side length of the prism is 14 units, we can calculate the height of the prism using the above formula:

Height of the Prism = √3 * 14

Height of the Prism = 14√3

Now, the distance between points D and F1 can be calculated using the height of the prism. Since D and F1 are on opposite faces of the prism, the distance between them is equal to the height of the prism:

Distance between D and F1 = 14√3 units

Therefore, the distance between points D and F1 in the given regular hexagonal prism is 14√3 units.

I hope this helps! If you have any further questions, feel free to ask.