Question

O piramida triunghiulara regulata are inaltimea egala cu 6 cm si apotema de 10 cm.Aflati aria totala si volumul piramidei.

Answer 1

prin  Pitagoa => 100=36 +a² =>a=8cm
a= 1/3 din h baza
=> h=8*3=24  cm  =>24=l√3/2=>l√3=48 =>l=16√3 cm
A baza =l*h/2=16√3 * 24 /2=16√3 * 12=192√3 cm²
=> V=Ab*h/3=192√3 * 6/3=192√3*2=384√3 cm³

A tot=Ab+A lat
A lat=3* 80√3=240√3 cm²
=>Atot=192√3 + 240√3=432√3 cm²