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}} $ .