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: Option D
Explanation
x = (sqrt{-2239^2 + 2239^2})
= -(sqrt{10026242})
= 3166.42
y = -(sqrt{10026242 + 5013121})
= -(sqrt{15039363})
= 3878
= (sqrt{3}) x 2239