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Piramida hexagonala VABCDEF are muchia laterala VA=26cm si inaltimea VO=24.
a)Aflati aria laterala a piramidei
b)aflati volumul piramidei


Răspuns :

L=√(26²-24²)=√(676-576)=√100=10
apotema piramidei =√[h²+(L√3/2)²=√[24²+(10√3/2)²]=√(576+75)=√651 cm
Al=3Lxap=3x10x√651=30√651 cm²
V=1/3x3L²√3/2xh=1/3x300√3/2x24=1200√3 cm³