Question

Un paralelipiped dreptunghic are dimensiunile 3 m,4 m, 5 m. Aflati aria totala,volumul si diagonala paralelipipedului.

Answer 1

$h=3 \\ l=4 \\ L=5 \\ \boxed{A_t-?} \\ \boxed{V-?} \\ \boxed{d-?} \\ A_t=2(L \cdot h+l \cdot h+L \cdot l) \\ A_t=2(5 \cdot 3+4 \cdot 3+5 \cdot 4) \\ A_t=2(15+12+20)=2(27+20)=2 \cdot 47 \\ \Rightarrow \boxed{A_t=94 \ m^2} \\ V=L \cdot l \cdot h \\ V=5 \cdot 4 \cdot 3=20 \cdot 3 \\ \Rightarrow \boxed{V=60 \ m^3} \\ d= \sqrt{L^2+l^2+h^2} \\ d= \sqrt{5^2+4^2+3^2} = \sqrt{25+16+9} \\ d= \sqrt{41+9} = \sqrt{50} \\ \Rightarrow \boxed{d= \sqrt{50} }$