O piramida patrulatera regulata are latura de 12 cm , inaltimea de 6√3 . Aflati muchia, Aria bazei , Aria laterala, Aria totala si Volumul.
renatemambouko
Latura=12 cm inaltimea=6√3 cm diagonala bazei=√(12²+12²)=12√2 cm muchia=√(6√2)²+(6√3)²=√(72+108)=√180=6√5 cm Ab=12x12=144 cm² apotema=√[(6√5)²-6²]=√(180-36)=√144=12 Al=(Pb×ap)/2=4x12x12/2=288 cm² At=144+288=432 V=Abxh/3=144x6√3/3=1152√3 cm³
inaltimea=6√3 cm
diagonala bazei=√(12²+12²)=12√2 cm
muchia=√(6√2)²+(6√3)²=√(72+108)=√180=6√5 cm
Ab=12x12=144 cm²
apotema=√[(6√5)²-6²]=√(180-36)=√144=12
Al=(Pb×ap)/2=4x12x12/2=288 cm²
At=144+288=432
V=Abxh/3=144x6√3/3=1152√3 cm³