Question

in the cube shown below, which planes intersect? select all that apply.

Explanation:

Step1: Recall plane - intersection concept

In a 3 - D shape like a cube, two planes intersect if they are not parallel.

Step2: Analyze NOP and JKL

Planes NOP and JKL are parallel, so they do not intersect.

Step3: Analyze JMN and KLO

These planes are not parallel and will intersect at some line in the cube.

Step4: Analyze LMP and JKL

These planes are not parallel and will intersect at some line in the cube.

Step5: Analyze JKN and JKL

These two planes share a common part (the line JK in this case), so they intersect.

Answer:

JMN and KLO, LMP and JKL, JKN and JKL