Length of a Diagonal of a Cube
Formula for the Length of a Diagonal of a Cube is given for both faces as well as the body diagonal which is already discussed in the article. Let’s learn the formula for each diagonal as follows:
Formula of Face Diagonal of a Cube
The formula for the face diagonal of a cube is given as
d = √2.a
Where,
- d is the face diagonal of a cube, and
- a is the length of the side of a cube.
We can see that since the face of a cube is of square shape, hence the formula of the face diagonal of a cube is the same as that of the formula of a diagonal of a square.
Formula of Body Diagonal of a Cube
The formula for the Body Diagonal of a Cube is given as
D = √3.a
Where,
- D is the Body Diagonal of a Cube, and
- a is the length of the side of a Cube.
Diagonal of a Cube Formula
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.