Question 22

Explanation

Given cube ABCD.EFGH with edge $12$ cm

Determining Face Diagonal

If $AC$ and $PR$ are face diagonals, then

Calculating Distance from Point P to Line HB

Since $P$ is the midpoint of $CG$ and $O$ is the center of the cube, then

Therefore, the distance from point $P$ to line $HB$ is $6\sqrt{2}$ cm