Question

Дан куб абсда1б1с1д1 со стороной 4см найдите расстояние между а) аб и сс1 б) сс1 и в1д1д в) сс1 и бд г) ас и бб1

Answer 1

Дома пошёл пришло ушол

Answer 2

Calculation of Distances in a Cube

To find the distances between various points in a cube, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Let's calculate the distances between the given points in the cube with a side length of 4 cm.

a) Distance between AB and CC1

To find the distance between AB and CC1, we need to calculate the length of the line segment connecting these two points. Since AB and CC1 are opposite corners of the cube, this line segment will be a space diagonal.

The length of a space diagonal in a cube can be found using the formula:

d = √(a^2 + b^2 + c^2)

where d is the length of the space diagonal, and a, b, and c are the lengths of the sides of the cube.

In this case, the length of the space diagonal is:

d = √(4^2 + 4^2 + 4^2)

Calculating this, we get:

d = √(16 + 16 + 16) = √(48) ≈ 6.93 cm

Therefore, the distance between AB and CC1 is approximately 6.93 cm.

b) Distance between CC1 and V1D1D

To find the distance between CC1 and V1D1D, we can again use the formula for the length of the space diagonal:

d = √(a^2 + b^2 + c^2)

In this case, the length of the space diagonal is:

d = √(4^2 + 4^2 + 4^2)

Calculating this, we get:

d = √(16 + 16 + 16) = √(48) ≈ 6.93 cm

Therefore, the distance between CC1 and V1D1D is approximately 6.93 cm.

c) Distance between CC1 and BD

To find the distance between CC1 and BD, we can once again use the formula for the length of the space diagonal:

d = √(a^2 + b^2 + c^2)

In this case, the length of the space diagonal is:

d = √(4^2 + 4^2 + 4^2)

Calculating this, we get:

d = √(16 + 16 + 16) = √(48) ≈ 6.93 cm

Therefore, the distance between CC1 and BD is approximately 6.93 cm.

d) Distance between AS and BB1

To find the distance between AS and BB1, we need to calculate the length of the line segment connecting these two points. Since AS and BB1 are adjacent corners of the cube, this line segment will be a side of the cube.

The length of a side of the cube is given as 4 cm.

Therefore, the distance between AS and BB1 is 4 cm.

In summary: - The distance between AB and CC1 is approximately 6.93 cm. - The distance between CC1 and V1D1D is approximately 6.93 cm. - The distance between CC1 and BD is approximately 6.93 cm. - The distance between AS and BB1 is 4 cm.

Please note that these calculations assume a perfect cube with equal side lengths and right angles between the faces.