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
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
x = \(\sqrt{-2239^2 + 2239^2}\)
= -\(\sqrt{10026242}\)
= 3166.42
y = -\(\sqrt{10026242 + 5013121}\)
= -\(\sqrt{15039363}\)
= 3878
= \(\sqrt{3}\) x 2239
Source: Myschool Past Questions Archive (Record #32677)