What is a Diagonal of a Cube?

A diagonal of a cube is a line segment that joins the two opposite vertices of a cube. In general, a diagonal is a line segment that joins two opposite vertices in a polygon having more than three sides. Diagonals are not present in a triangle. A Cube is a three-dimensional solid figure whose all three dimensions i.e. length, breadth, and height are equal in measurement. Some of the examples of cubes that we can see in our daily life are ice cubes, Rubik’s cube, and the die of Ludo, etc. A Cube has 6 faces, 12 edges, and 8 vertices. Apart from faces, edges, and vertices, there are diagonals inside a cube. 

There are two types of diagonals in a cube:

• Face Diagonal of a Cube
• Body Diagonal of a Cube

Let’s learn about these diagonals in detail.

Face Diagonals of a Cube

In a cube, there are 6 faces and these faces are in the shape of a square. Each face has two diagonals, making it a total of 12 face diagonals in a cube.

Body Diagonal of a Cube

There are 8 vertices in a cube and we know that diagonals join opposite vertices. Hence, there will be four pairs of opposite vertices in a cube. Thus there are four body diagonals in a cube.

Note: There are 16 diagonals in a cube out of which 12 are face diagonals and 4 are body diagonals.

Diagonal of a cube is the line segment joining the two non-adjacent vertices of a Cube. The diagonal of a cube formula helps us to calculate the length of diagonals in a cube. There are primarily two diagonals in a cube, namely face diagonals and body diagonals. In this article, we will learn the types of diagonals in a cube, the diagonal of a cube formula, the derivation of the diagonal of a cube formula, and problems based on it.