Question

in the rectangular prism shown below, which planes intersect? select all that apply.
stw and rst
rsv and stw
rsv and vwx
stw and tux

Explanation:

In a rectangular prism, intersecting planes share at least one common line or point. STW and RST: Plane STW (faces S-T-W...) and plane RST (faces R-S-T...) share edge ST, so they intersect. RSV and STW: Plane RSV (R-S-V...) and plane STW (S-T-W...) share vertex S, so they intersect. RSV and WMX: Plane RSV (R-S-V...) and plane WMX (W-M-X...) are parallel (no common points), so they do not intersect. STW and TUX: Plane STW (S-T-W...) and plane TUX (T-U-X...) share edge TU (or related edge), so they intersect.

Answer:

STW and RST, RSV and STW, STW and TUX