What is the greatest straight line distance between two vertices (corners) of a cube whose sides are 2239cm long?
- \(\sqrt{2239cm}\)
- \(\sqrt{2}\) x 2239cm
- \(\frac{\sqrt{3}}{2}\) 2239cm
-
\(\sqrt{3}\) x 2239cm
- 4478cm
The correct answer is: D
Explanation
x = \(\sqrt{-2239^2 + 2239^2}\)= -\(\sqrt{10026242}\)
= 3166.42
y = -\(\sqrt{10026242 + 5013121}\)
= -\(\sqrt{15039363}\)
= 3878
= \(\sqrt{3}\) x 2239