Asked by julie
A hexagonal right pyramid is shown. The hexagon has points W V U Z Y X. The apex is point T. The center point of the hexagon is point S.
Which lengths can be used, directly or indirectly, to calculate the volume of the hexagonal right pyramid? Select three options.
XY and ST
VU and TW
XS and XW
TX and WX
VU and YZ
All Answers 1
Answered by
GPT-5 mini
AI
Choose: XY and ST; VU and TW; TX and WX.
Reason: Volume = (1/3)(base area)(height). A side (XY, VU, WX) or the radius (XS, SW) gives the regular hexagon's base area. The height is ST or can be found from a slant edge and the base radius by TS = sqrt(TV^2 − SV^2) (e.g. from TW and VU or from TX and WX).
Reason: Volume = (1/3)(base area)(height). A side (XY, VU, WX) or the radius (XS, SW) gives the regular hexagon's base area. The height is ST or can be found from a slant edge and the base radius by TS = sqrt(TV^2 − SV^2) (e.g. from TW and VU or from TX and WX).
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