What is the greatest straight line distance between two vertices (corners) of a cube whose sides are 2239cm long?

A.

\(\sqrt{2239cm}\)

B.

\(\sqrt{2}\) x 2239cm

C.

\(\frac{\sqrt{3}}{2}\) 2239cm

D.

\(\sqrt{3}\) x 2239cm

E.

4478cm

Correct answer is D

x = \(\sqrt{-2239^2 + 2239^2}\)

= -\(\sqrt{10026242}\)

= 3166.42

y = -\(\sqrt{10026242 + 5013121}\)

= -\(\sqrt{15039363}\)

= 3878

= \(\sqrt{3}\) x 2239