Question

Fie ABCDEFGH un paralelipiped dreptunghic cu AB =2 cm , BC = 2radical din3 cm AE=2 cm calculati lungimea diagonalei aria totala si volumul paralelipipedului

Answer 1

Conform Teoremei lui Pitagora in spatiu avem:

d²=a²+b²+c²;

d²=l²+L²+h²;

d=√(2²+2²+(2√3)²)=√(4+4+12)=√20=2√5(cm).

At=Al+2*Ab;

Al=Pb*h;

Al=2(2√3+2)*2=2(4√3+4)=(8√3+8)cm²

Ab=2√3*2=4√3(cm)²;

At=8√3+8+2*4√3=8√3+8+8√3=(16√3+8)cm²;

V=Ab*h;

V=4√3*2=8√3(cm³).

Bafta!