To calculate the diagonal of a cube, you can use the formula:

diagonal = √(3) x edge

where “edge” refers to the length of one side of the cube.

So, if you know the length of one side of the cube, simply multiply it by the square root of 3 to find the diagonal.

For example, if the edge of the cube is 5 cm, then the diagonal can be calculated as:

diagonal = √(3) x 5 diagonal ≈ 8.6603 cm

Therefore, the diagonal of a cube with an edge length of 5 cm is approximately 8.6603 cm.

To calculate the diagonal of a cube, you can follow these steps:

1. Determine the length of one side of the cube. Let’s call this value “s”.
2. Use the Pythagorean theorem to calculate the length of the diagonal of one face of the cube. The diagonal of a square can be calculated as d = s x √2, where d is diagonal and √2 is the square root of 2.
3. Since the cube has six faces, each with a diagonal length of d, the diagonal length of the cube can be calculated as D = d x √2, where D is the diagonal length of the cube and √2 is the square root of 2.

Here’s an example: let’s say the length of one side of the cube is 4 cm.

1. The length of one side of the cube is s = 4 cm.
2. The diagonal of one face of the cube can be calculated as d = s x √2 = 4 cm x √2 ≈ 5.657 cm.
3. The diagonal length of the cube can be calculated as D = d x √2 = 5.657 cm x √2 ≈ 8 cm.

Therefore, the diagonal length of a cube with a side length of 4 cm is approximately 8 cm.