Three Dimensional Geometry Question 18
Question: The edge of a cube is of length -a- then the shortest distance between the diagonal of a cube and an edge skew to it is
Options:
A) $ a\sqrt{2} $
B) a
C) $ \sqrt{2}/a $
D) $ a/\sqrt{2} $
Show Answer
Answer:
Correct Answer: D
Solution:
Requaried distance = KL
$ =\sqrt{{{( a-\frac{a}{2} )}^{2}}+0^{2}+{{( 0-\frac{a}{2} )}^{2}}} $ $ =\frac{a}{\sqrt{2}} $ .