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

Question

| x

A 6sqrt(2) inches

B 3sqrt(6) inches

C 6sqrt(3) inches

D 6sqrt(6) inches

Answer 1

B 3sqrt(6) inches

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

x^2 = 6^2 + 6^2
x^2 = 36 + 36
x^2 = 72
x = sqrt(72)
x = sqrt(36 * 2)
x = 6sqrt(2)

Therefore, the length of the diagonal, x, of the cube is 6sqrt(2) inches.