Question

Litera a), vă rog ! Mulțumesc mult !!

Answer 1

Răspuns:

Explicație pas cu pas:

a=6, b=6√3, c=9.

Diagonala,  d²=a²+b²+c²=6²+(6√3)²+9²=36+36·3+9·9=9·(4+4·3+9)=9·25

Deci d=√(9·25)=3·5=15 cm.

Aria(laterala)=Perimetrul(bazei)·Inaltime=2·(a+b)·c=2·(6+6√3)·9=2·6·9·(1+√3)= 108·(1+√3)cm.

A(totala)=Aria(laterala)+2·Aria(bazei)=108(1+√3)+2·a·b=108(1+√3)+2·6·6√3= 108(1+√3)+72√3=108+108√3+72√3=108+180√3=36·3+36·5√3=36·(3+5√3)cm².

Volumul=Aria(bazei)·Inaltime=a·b·c=6·6√3·9=36·9√3=324√3cm³.