Face Diagonal of Cube Calculator

Calculate Face Diagonal



Formula

The formula to calculate the Face Diagonal of a Cube (dFace) is:

\[ d_{\text{Face}} = \sqrt{2} \times l_e \]

Where:

Definition

The Face Diagonal of a Cube is the distance between any pair of opposite corners on a particular square face of the Cube.

The Edge Length of a Cube is the length of any edge of the Cube.

How to calculate Face Diagonal of a Cube

Let's assume the following value:

Using the formula:

\[ d_{\text{Face}} = \sqrt{2} \times l_e \]

Evaluating:

\[ d_{\text{Face}} = \sqrt{2} \times 10 \]

The Face Diagonal is 14.1421 m.

Face Diagonal Conversion Chart

Edge Length (m) Face Diagonal (m)
1 1.4142
2 2.8284
3 4.2426
4 5.6569
5 7.0711
6 8.4853
7 9.8995
8 11.3137
9 12.7279
10 14.1421