Question

in the rectangular prism shown below, which planes are parallel? qru and tuv pst and qru rsv and pqr pst and tuv

Explanation:

Step1: Recall the property of parallel planes in a rectangular prism

In a rectangular prism, opposite faces (planes) are parallel.

Step2: Analyze each option

• Option QRU and TUV: These are not opposite planes.
• Option PST and QRU: These are not opposite planes.
• Option RSV and PQR: These are not opposite planes.
• Option PST and TUV: In a rectangular prism, \(P - Q - R - S - T - U - V - W\), the plane \(PST\) (with points \(P\), \(S\), \(T\)) and the plane \(TUV\) (with points \(T\), \(U\), \(V\)) are opposite planes.

Answer:

PST and TUV