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V=?
a=4 cm
Pp=a²√3/4
Pp=4²√3/4
Pp=16√3/4
Pp=4√3 cm²
Pb=3*1/2*a*h
24=3/2*4h
24=6h
h=4 cm
r=1/3*a√3/2
r=1/3*4√3/2
r=1/3*2√3
r=2/3 √3 cm
r²+H²=h²
(2/3 √3)²+H²=4²
H²=16- 4/3
H²=14 i 2/3
H=√44/3
H=2/3 √33 cm
V=1/3*Pp*H
V=1/3*4√3*2/3 √33
V=1/3*8√3/3 *√33
V=1/3*8√99/3
V=1/3*8*3√11/3
V=8√11/3
V=8/3 √11 cm³