Question

De calculat diagonala paralelepipedului cu baza patrat,cu latura de 5 cm si aria lateral de 120 cm

Answer 1

Alaterala=P x h
P=5x4=20
120=20 x h
h=120:20=6 cm
diagonala paralelipipedului=√(5²+5²+6²)=√86 cm

Answer 2

Desenezi paralelipipedul. Observam ca avem aria laterala de 120 cm. Din formula ei putem afla h:
Al = Pb * h => 120 = 5 * 4 * h => 120 = 20 * h => h = 120 : 20 = 6 cm.
Diagonala paralelipipedului se afla cu formula:
$d = \sqrt{L^2+l^2+h^2}$.
Inlocuind in formula noastra => $d = \sqrt{25+25+36} = \sqrt{50+36} =\ \textgreater \ d = \sqrt{86} \ cm$