Question

calculati volumul unei prisme patrulatere regulate cu aria bazei de 25cm2 si aria laterala de 160 cm2.

Answer 1

Prisma patrulatera regulata.
Ab=25cm²
Alat=160cm²
V=?
Alat=Perimetru baza*h=>h=Alaterala/Pb
Pb=4*l
Aria baza =25cm²
Baza e un patrat=>A=l²->l=√A
l=√25=5cm
Deci, latura bazei are 5 cm
Aflam Pb
Pb=4*l
Pb=4*5=20cm
Alat=Pb*h =>h=Alat/P
h=160cm²/20cm= 8cm
h(inaltimea)= 8cm
V=Abaza*h
V=25cm²*8cm=200cm³
Deci, volumul este 200cm³