Question

in the cube shown below, which planes intersect? jkl and fgh fgj and ghk fgj and hil fij and ghk

Explanation:

Step1: Analyze the first option

Planes \(JKL\) and \(FGH\) are parallel. In a cube, opposite - face - like planes (in this case, they are opposite in a sense of non - adjacent and parallel orientation) do not intersect.

Step2: Analyze the second option

Planes \(FGJ\) and \(GHK\). These two planes share the line \(FG\). Since two non - parallel planes in 3 - D space that share a common line intersect along that line.

Step3: Analyze the third option

Planes \(FGJ\) and \(HIL\) are parallel. They have the same orientation and do not meet.

Step4: Analyze the fourth option

Planes \(FIJ\) and \(GHK\) are parallel. They have the same orientation and do not meet.

Answer:

\(FGJ\) and \(GHK\)