inaltimea A'E _I_AC
A'C'=√(12²+12²)=12√2
AE=√[12²-(6√2)²]=√(144-72)=√72=6√2
AC=A'C'+2x6√2=12√2+12√2=24√2
AC²=AB²+BC²=2AB²
a) AB=24
b) V=h/3(Abazei mari+Abazei mici+√Abazei mari ×Abazei mici)=
=6√2/3(12²+24²+√(12²x24²)=2√2(144+576+288)=2016√2 cm³
c) consideram V varful piramidei
consideram O intersectia diagonalelor bazei mai a piramidei si O' intersectia diagonalelor bazei mici a piramidei
VA'/VA'=O'/AO
VA'/(VA'+12)=6√2/12√2
VA'/(VA'+12)=1/2
2VA'=VA'+12
VA'=12
VO'=√[12²-(6√2)²]=√(144-72)=√72=6√2
VO=6√2+6√2=12√2
V=Abazeixh/3=24²x12√2/3=2304√2
d)Al=(Pbazei mari+Pbazei mici)xapotema trunchiului/2
notam A'F apotema
A'F=√(12²-6²)=√108=6√3
Al=(24x4+12x4)x6√3/2=144x3√3=432√3
e) apotema piramidei =√(24²-6²)=√576-36=√540=6√15
A l a piramidei =Pbazei x at/2=(24x4) x6√15/2=288√15
