Question

Find the angle between the face diagonals of a cube

Answer 1

The each face of a cube is a square
The angle between the diagonal of square is at 45 degree

Answer 2

Answer:

= 45°

Step-by-step explanation:

Cube- A 3-dimensional structure in which their all sides are equal and and the angle between their sides are 90°.

The angle between the face diagonal of the cube is 45°, because it passes through mid- point of two sides which is 90°.

Therefore , the angle between the face diagonal = 45°.

Some formula related to cube

°Total surface area of the cube = 6a²

° Lateral surface area of the cube = 4a²

° Diagonal length of the face of the cube = √2a²

° Volume of the cube = a³

° Diagonal length of the of cube = √3a²

Some properties of Cube

→A cube has six faces and twelve edges of equal length.

→It has square-shaped faces.

→The angles of the cube in the plane are at a right angle.

→Each face of the cube meets four other faces.

→Each vertex of the cube meets three faces and three edges.

→Opposite edges of the cube are parallel to each other.

THANKS.

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