Question

How to find diagonal of cube?

Answer 1

To find the diagonal of a cube, you can use the Pythagorean theorem. In a cube, the diagonal connects two opposite corners of the cube. Let's call the length of one side of the cube "s" and the diagonal "d."

Using the Pythagorean theorem, we can relate the diagonal to the sides of the cube as follows:

`d^2 = s^2 + s^2 + s^2`

Simplifying the equation:

`d^2 = 3s^2`

To find the diagonal, take the square root of both sides:

`d = √(3s^2)`

`d = √(3) \cdot s`

So, the diagonal of a cube is equal to the square root of 3 times the length of one of its sides.