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Aflati aria totala si volumul unei piramide patrulatere regulate cu aria de 64cm la 2 ,apotema piramidei de 9 cm si inaltimea de 10 cm

Răspuns :

Ab=aria bazei=[tex] l^{2} [/tex] ; Al=arie laterala= [tex] \frac{Pb*ap}{2} [/tex]; At=arie totala=Al+Ab; ap=apotema piramidei; Pb=perimetrul bazei=4l; h=inaltimea; V=volumul=[tex] \frac{Ab*h}{3} [/tex]

 Ab=Apatrat=[tex] l^{2} [/tex] => [tex] l^{2} [/tex]=64cm la 2 => l=8 cm => Pb=4l=4*8=32cm

Al= [tex] \frac{32*9}{2}= \frac{288}{2}=144 cm^{2} [/tex]

At=144+64=208[tex] cm^{2} [/tex]

V=64*10/3=640/3=213,33cm³