If the cube shown is 6 inches on all sides, what is the length of the diagonal, x, of the cube?

Answer 1

To find the length of the diagonal, we can use the Pythagorean theorem.

The diagonal of a cube forms a right triangle with two sides being the length of the sides of the cube (6 inches) and the diagonal being x.

Using the Pythagorean theorem, we have:

x^2 = 6^2 + 6^2
x^2 = 36 + 36
x^2 = 72

Taking the square root of both sides, we get:

x = √72
x ≈ 8.49 inches

Therefore, the length of the diagonal, x, of the cube is approximately 8.49 inches.