Question

Find the perpendicular distance of an angular point of a cube from a diagonal ,which does not pass through that point?

Answer 1

Answer:

√3a÷2

Step-by-step explanation:

Let us assume the length of side of the cube to be a.

Length of the body  diagonal of the cube  is given by√ a² + (√2 a)² =  √3 a

If we consider an angular point the perpendicular distance of the point is given by √3a÷2 , since the perpendicular distance of the angular point meets the body diagonal at the center.