# Diagonal of a Cube Formula

A cube is a special three-dimensional rectangular solid. A cube is a rectangular solid that has edges with all the same length. In other words, the length, width, and height are equal, and each of its six faces is a square. The main diagonal of a cube is the one that cuts through the center of the cube; the diagonal of a face of a cube is not the main diagonal. The main diagonal of any cube can be found my multiplying the length of one side by the square root of 3.

\[\LARGE Diagonal\;of\;a\;Cube=\sqrt{3}x\]

### Solved Examples

**Question 1:**Find the diagonal of the cube with the given side 5 cm?

**Solution:**

**Given: **side x = 5 cm

Use diagonal formula,

Diagonal of cube = $\sqrt{3}x$

Diagonal of cube = $\sqrt{3}*5$

Diagonal of cube =** 8.66 cm**