Question

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

Explanation:

Step1: Recall plane - intersection concept

In a rectangular prism, two planes intersect if they share common points.

Step2: Analyze RSV and TUX

Planes RSV and TUX share no common points as they are opposite and parallel planes in the rectangular prism, so they do not intersect.

Step3: Analyze STW and VWX

These two planes share the line segment VW. So they intersect.

Step4: Analyze RSV and STW

These two planes share the line segment RS. So they intersect.

Step5: Analyze STW and TUX

These two planes share the point T. So they intersect.

Answer:

STW and VWX, RSV and STW, STW and TUX