Question

Piramida patrulatera regulata VABCD are latura bazei de lungimea 4 radical 3 cm si apotema egala cu √13 cm .Aflati:
a)inaltimea piramidei
b)ARIA LATERALA A PIRAMIDEi
c)muchia laterala a piramidei
d)volumul

Answer 1

a)
apotema VE=√13
latura/2=4√3/2=2√2
inaltimea =VO=√[(√13)²-(2√3)²]=√13-12=1cm

b) Alaterala =(Pbxap)/2=[4x(4√3)x√13]/2=16√39/2=8√39 cm²

c)VA=VB=VC=VD=√(√13)²+(2√3)²=√(13+12)=√25=5 cm

d)V=Abxh/3=4√3x4√3x1/3=16x3/3=16 cm³