Question

1. prisma patrulatera regulata ABCDA'B'C'D. Daca AB = 4cm si AA' =6 cm , Aflati :
a)Suma lungimilor tuturor muchiilor prismei
b)Perimetrul bazei , Aria bazei , Aria laterala , Aria totala , Volum . diagonala

Answer 1

a)suma muchiilor=8*4+4*6=32+24=56

b)Pb=4l=4*4=16
Ab=l²=4²=16
Al=Pb*h=16*6=96
At=Al+2Ab=96+ 2*16=96 +32=128
V=Ab*h=16*6=96

DB-d=l√2=4√2
D'D_|_(ABC)
DB inclus (ABC)   ⇒D'D_|_DB  ⇒mas<D'DB=90
ΔD'DB  ⇒D'B²=D'D²+DB²= 6²+ (4√2)²=36+32=68  ⇒D'B=2√17   D'B-diag prisma