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

a. 6\sqrt(2)
b. 3\sqrt(6)
c. 6\sqrt(3)
d. 6\sqrt(6)

1 answer

The length of the diagonal of a cube can be found using the Pythagorean theorem.

For a cube with side length s, the diagonal is given by the formula:

Diagonal = s√3

Given that the cube has side length of 6 inches:

Diagonal = 6√3 = 6 * √3

Therefore, the length of the diagonal of the cube is:

c. 6√3