Respostas

  • Usuário do Brainly
2014-09-03T19:56:44-03:00
2(ab+ac+bc)=94

(ab+ac+bc)=47

b=a+1, c=a+2:

a(a+1)+a(a+2)+(a+1)(a+2)=47

a^2+a+a^2+2a+a^2+3a+2=47

3a^2+6a+2-47=0

3^2+6a-45=0

a^2+2a-15=0

\Delta=2^2-4\cdot1\cdot(-15)=4+60=64

a>0

a=\dfrac{-2+\sqrt{64}}{2}=\dfrac{-2+8}{2}=3

b=4 e c=5

O volume procurado é:

V=abc=3\cdot4\cdot5=60~\text{m}^3
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